Acu, Ana-Maria; De Marchi, Stefano; Raşa, Ioan Aldaz-Kounchev-Render operators on simplices. (English) Zbl 07799726 J. Math. Anal. Appl. 533, No. 2, Article ID 128072, 11 p. (2024). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A30 41A63 41A65 PDFBibTeX XMLCite \textit{A.-M. Acu} et al., J. Math. Anal. Appl. 533, No. 2, Article ID 128072, 11 p. (2024; Zbl 07799726) Full Text: DOI
Dai, F.; Temlyakov, V. Random points are good for universal discretization. (English) Zbl 1528.41024 J. Math. Anal. Appl. 529, No. 1, Article ID 127570, 28 p. (2024). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A17 41A60 41A65 PDFBibTeX XMLCite \textit{F. Dai} and \textit{V. Temlyakov}, J. Math. Anal. Appl. 529, No. 1, Article ID 127570, 28 p. (2024; Zbl 1528.41024) Full Text: DOI arXiv
Ehler, Martin; Gröchenig, Karlheinz \(t\)-design curves and mobile sampling on the sphere. (English) Zbl 07774868 Forum Math. Sigma 11, Paper No. e105, 25 p. (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A55 41A63 94A12 26B15 PDFBibTeX XMLCite \textit{M. Ehler} and \textit{K. Gröchenig}, Forum Math. Sigma 11, Paper No. e105, 25 p. (2023; Zbl 07774868) Full Text: DOI arXiv OA License
Brummelhuis, Raymond Convergence of non-stationary semi-discrete RBF schemes for the heat and wave equation. (English) Zbl 07741463 Adv. Comput. Math. 49, No. 5, Paper No. 69, 33 p. (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A25 65D12 65M12 65M15 65M20 65M70 PDFBibTeX XMLCite \textit{R. Brummelhuis}, Adv. Comput. Math. 49, No. 5, Paper No. 69, 33 p. (2023; Zbl 07741463) Full Text: DOI
Iserles, Arieh; Luong, Karen; Webb, Marcus Approximation of wave packets on the real line. (English) Zbl 07735970 Constr. Approx. 58, No. 1, 199-250 (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A60 42C05 41A20 42A16 PDFBibTeX XMLCite \textit{A. Iserles} et al., Constr. Approx. 58, No. 1, 199--250 (2023; Zbl 07735970) Full Text: DOI arXiv
Schaback, Robert \(H\)-sets for kernel-based spaces. (English) Zbl 07734908 J. Approx. Theory 294, Article ID 105942, 11 p. (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A10 41A52 65D15 PDFBibTeX XMLCite \textit{R. Schaback}, J. Approx. Theory 294, Article ID 105942, 11 p. (2023; Zbl 07734908) Full Text: DOI arXiv
De Marchi, Stefano; Elefante, Giacomo; Marchetti, Francesco; Mariethoz, Jean-Zacharie More properties of \((\beta,\gamma)\)-Chebyshev functions and points. (English) Zbl 07732461 J. Math. Anal. Appl. 528, No. 2, Article ID 127603, 13 p. (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A10 42C05 PDFBibTeX XMLCite \textit{S. De Marchi} et al., J. Math. Anal. Appl. 528, No. 2, Article ID 127603, 13 p. (2023; Zbl 07732461) Full Text: DOI arXiv
Cerejeiras, Paula; Fink, Thomas; Forster, Brigitte; Kähler, Uwe Shift-invariant spline subspaces of Sobolev spaces and their order of approximation. (English) Zbl 1521.41004 J. Math. Anal. Appl. 528, No. 1, Article ID 127444, 19 p. (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A25 46E35 PDFBibTeX XMLCite \textit{P. Cerejeiras} et al., J. Math. Anal. Appl. 528, No. 1, Article ID 127444, 19 p. (2023; Zbl 1521.41004) Full Text: DOI
Nour, M.-Y.; Lamnii, A.; Zidna, A.; Barrera, D. Non-uniform UE-spline quasi-interpolants and their application to the numerical solution of integral equations. (English) Zbl 1518.41007 Appl. Numer. Math. 191, 29-44 (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 PDFBibTeX XMLCite \textit{M. Y. Nour} et al., Appl. Numer. Math. 191, 29--44 (2023; Zbl 1518.41007) Full Text: DOI
Dai, F.; Kosov, E.; Temlyakov, V. Some improved bounds in sampling discretization of integral norms. (English) Zbl 1528.41095 J. Funct. Anal. 285, No. 4, Article ID 109951, 40 p. (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A65 41A55 PDFBibTeX XMLCite \textit{F. Dai} et al., J. Funct. Anal. 285, No. 4, Article ID 109951, 40 p. (2023; Zbl 1528.41095) Full Text: DOI arXiv
Lyche, Tom; Mørken, Knut; Reif, Ulrich On the condition of cubic B-splines. (English) Zbl 1512.41008 J. Approx. Theory 289, Article ID 105883, 15 p. (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 65D07 PDFBibTeX XMLCite \textit{T. Lyche} et al., J. Approx. Theory 289, Article ID 105883, 15 p. (2023; Zbl 1512.41008) Full Text: DOI
Kamont, Anna; Passenbrunner, Markus An algebraic characterization of B-splines. (English) Zbl 1511.41004 J. Math. Anal. Appl. 524, No. 1, Article ID 127063, 26 p. (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 PDFBibTeX XMLCite \textit{A. Kamont} and \textit{M. Passenbrunner}, J. Math. Anal. Appl. 524, No. 1, Article ID 127063, 26 p. (2023; Zbl 1511.41004) Full Text: DOI arXiv
Mhaskar, H. N. Local approximation of operators. (English) Zbl 1510.41014 Appl. Comput. Harmon. Anal. 64, 194-228 (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 41A25 42C10 PDFBibTeX XMLCite \textit{H. N. Mhaskar}, Appl. Comput. Harmon. Anal. 64, 194--228 (2023; Zbl 1510.41014) Full Text: DOI arXiv
Kuijlaars, Arno B. J. Extremal polynomials on the \(n\)-grid. (English) Zbl 1510.41003 J. Approx. Theory 288, Article ID 105875, 15 p. (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A20 65D05 65D15 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars}, J. Approx. Theory 288, Article ID 105875, 15 p. (2023; Zbl 1510.41003) Full Text: DOI arXiv
Waldschmidt, Michel Lidstone interpolation. III: Several variables. (English) Zbl 1507.41012 Trans. Am. Math. Soc., Ser. B 10, 201-219 (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 32A08 32A15 41A05 41A58 PDFBibTeX XMLCite \textit{M. Waldschmidt}, Trans. Am. Math. Soc., Ser. B 10, 201--219 (2023; Zbl 1507.41012) Full Text: DOI
Plonka, Gerlind; Riebe, Yannick; Kolomoitsev, Yurii Spline representation and redundancies of one-dimensional ReLU neural network models. (English) Zbl 1507.41005 Anal. Appl., Singap. 21, No. 1, 127-163 (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 65D05 68T07 PDFBibTeX XMLCite \textit{G. Plonka} et al., Anal. Appl., Singap. 21, No. 1, 127--163 (2023; Zbl 1507.41005) Full Text: DOI arXiv
Lyche, Tom; Manni, Carla; Speleers, Hendrik Construction of \(C^2\) cubic splines on arbitrary triangulations. (English) Zbl 1522.41004 Found. Comput. Math. 22, No. 5, 1309-1350 (2022). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 65D07 65D17 65D05 PDFBibTeX XMLCite \textit{T. Lyche} et al., Found. Comput. Math. 22, No. 5, 1309--1350 (2022; Zbl 1522.41004) Full Text: DOI arXiv
Beccari, Carolina V.; Casciola, Giulio; Romani, Lucia Fundamental functions for local interpolation of quadrilateral meshes with extraordinary vertices. (English) Zbl 1522.41003 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 68, No. 2, 369-383 (2022); correction ibid. 69, No. 2, 615-618 (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 65D05 65M50 PDFBibTeX XMLCite \textit{C. V. Beccari} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 68, No. 2, 369--383 (2022; Zbl 1522.41003) Full Text: DOI
Corless, Robert M.; Sevyeri, Leili Rafiee Compact cubic splines. (English) Zbl 1516.41006 J. Approx. Theory 283, Article ID 105810, 8 p. (2022). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 65D25 PDFBibTeX XMLCite \textit{R. M. Corless} and \textit{L. R. Sevyeri}, J. Approx. Theory 283, Article ID 105810, 8 p. (2022; Zbl 1516.41006) Full Text: DOI
Drake, Kathryn P.; Fuselier, Edward J.; Wright, Grady B. Implicit surface reconstruction with a curl-free radial basis function partition of unity method. (English) Zbl 1516.41001 SIAM J. Sci. Comput. 44, No. 5, A3018-A3040 (2022). Reviewer: Martin D. Buhmann (Gießen) MSC: 41-04 41A15 41A29 65D07 65D10 65D15 65D17 68U07 PDFBibTeX XMLCite \textit{K. P. Drake} et al., SIAM J. Sci. Comput. 44, No. 5, A3018--A3040 (2022; Zbl 1516.41001) Full Text: DOI arXiv
Dolbeault, Matthieu; Cohen, Albert Optimal sampling and Christoffel functions on general domains. (English) Zbl 1517.41001 Constr. Approx. 56, No. 1, 121-163 (2022). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A10 65D15 41A81 41A65 62E17 PDFBibTeX XMLCite \textit{M. Dolbeault} and \textit{A. Cohen}, Constr. Approx. 56, No. 1, 121--163 (2022; Zbl 1517.41001) Full Text: DOI arXiv
Kroó, András On discretizing uniform norms of exponential sums. (English) Zbl 1517.41005 Constr. Approx. 56, No. 1, 45-73 (2022). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A17 41A63 PDFBibTeX XMLCite \textit{A. Kroó}, Constr. Approx. 56, No. 1, 45--73 (2022; Zbl 1517.41005) Full Text: DOI
Volkov, Yu. S.; Novikov, S. I. Estimates of solutions to infinite systems of linear equations and the problem of interpolation by cubic splines on the real line. (English. Russian original) Zbl 1516.41008 Sib. Math. J. 63, No. 4, 677-690 (2022); translation from Sib. Mat. Zh. 63, No. 4, 814-830 (2022). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 15A99 65D15 PDFBibTeX XMLCite \textit{Yu. S. Volkov} and \textit{S. I. Novikov}, Sib. Math. J. 63, No. 4, 677--690 (2022; Zbl 1516.41008); translation from Sib. Mat. Zh. 63, No. 4, 814--830 (2022) Full Text: DOI
Massopust, Peter Splines and fractional differential operators. (English) Zbl 1510.41001 Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 3, Article ID 2040005, 17 p. (2022). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 26A33 30G35 65D07 42C40 PDFBibTeX XMLCite \textit{P. Massopust}, Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 3, Article ID 2040005, 17 p. (2022; Zbl 1510.41001) Full Text: DOI arXiv
Chu, Ba-Duong; Martin, Florian; Reif, Ulrich Stabilization of spline bases by extension. (English) Zbl 1504.41007 Adv. Comput. Math. 48, No. 3, Paper No. 23, 21 p. (2022). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 65D07 PDFBibTeX XMLCite \textit{B.-D. Chu} et al., Adv. Comput. Math. 48, No. 3, Paper No. 23, 21 p. (2022; Zbl 1504.41007) Full Text: DOI
Shevaldin, V. T. Extremal interpolation with the least value of the norm of the second derivative in \(L_p(\mathbb{R})\). (English. Russian original) Zbl 1489.41001 Izv. Math. 86, No. 1, 203-219 (2022); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 1, 219-236 (2022). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A15 41A50 65D07 PDFBibTeX XMLCite \textit{V. T. Shevaldin}, Izv. Math. 86, No. 1, 203--219 (2022; Zbl 1489.41001); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 1, 219--236 (2022) Full Text: DOI
Yarotsky, Dmitry Universal approximations of invariant maps by neural networks. (English) Zbl 1505.41019 Constr. Approx. 55, No. 1, 407-474 (2022). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 13A50 20C35 41A30 62J02 62M45 68T05 PDFBibTeX XMLCite \textit{D. Yarotsky}, Constr. Approx. 55, No. 1, 407--474 (2022; Zbl 1505.41019) Full Text: DOI arXiv
Kaarnioja, Vesa; Kazashi, Yoshihito; Kuo, Frances Y.; Nobile, Fabio; Sloan, Ian H. Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. (English) Zbl 1495.41003 Numer. Math. 150, No. 1, 33-77 (2022). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A63 65D07 65D15 65T40 PDFBibTeX XMLCite \textit{V. Kaarnioja} et al., Numer. Math. 150, No. 1, 33--77 (2022; Zbl 1495.41003) Full Text: DOI arXiv
Thuy, Nguyen Thi Thu A strong convergence theorem for an iterative method for solving the split variational inequalities in Hilbert spaces. (English) Zbl 1491.41012 Vietnam J. Math. 50, No. 1, 69-86 (2022). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A65 47H20 PDFBibTeX XMLCite \textit{N. T. T. Thuy}, Vietnam J. Math. 50, No. 1, 69--86 (2022; Zbl 1491.41012) Full Text: DOI
Das, S. R.; Massopust, P.; Radha, R. Twisted B-splines in the complex plane. (English) Zbl 1484.41007 Appl. Comput. Harmon. Anal. 56, 250-282 (2022). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 42C15 43A30 PDFBibTeX XMLCite \textit{S. R. Das} et al., Appl. Comput. Harmon. Anal. 56, 250--282 (2022; Zbl 1484.41007) Full Text: DOI arXiv
Barucq, Hélène; Calandra, Henri; Diaz, Julien; Frambati, Stefano Polynomial-reproducing spline spaces from fine zonotopal tilings. (English) Zbl 1481.41003 J. Comput. Appl. Math. 402, Article ID 113812, 19 p. (2022). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 65D07 PDFBibTeX XMLCite \textit{H. Barucq} et al., J. Comput. Appl. Math. 402, Article ID 113812, 19 p. (2022; Zbl 1481.41003) Full Text: DOI arXiv
Aliev, R. A.; Asgarova, A. A.; Ismailov, V. E. On the representation by bivariate ridge functions. (English) Zbl 1492.41013 Ukr. Math. J. 73, No. 5, 675-685 (2021); translation from Ukr. Mat. Zh. 73, No. 5, 579-588 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A65 PDFBibTeX XMLCite \textit{R. A. Aliev} et al., Ukr. Math. J. 73, No. 5, 675--685 (2021; Zbl 1492.41013); translation from Ukr. Mat. Zh. 73, No. 5, 579--588 (2021) Full Text: DOI arXiv
Farazandeh, Elham; Mirzaei, Davoud A rational RBF interpolation with conditionally positive definite kernels. (English) Zbl 1489.65027 Adv. Comput. Math. 47, No. 5, Paper No. 74, 21 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D12 41A20 41A05 PDFBibTeX XMLCite \textit{E. Farazandeh} and \textit{D. Mirzaei}, Adv. Comput. Math. 47, No. 5, Paper No. 74, 21 p. (2021; Zbl 1489.65027) Full Text: DOI
Viswanathan, P. A fractal version of a bivariate Hermite polynomial interpolation. (English) Zbl 1481.41002 Mediterr. J. Math. 18, No. 5, Paper No. 225, 15 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 28A80 41A15 41A63 PDFBibTeX XMLCite \textit{P. Viswanathan}, Mediterr. J. Math. 18, No. 5, Paper No. 225, 15 p. (2021; Zbl 1481.41002) Full Text: DOI
Campagna, Rosanna; Conti, Costanza Penalized hyperbolic-polynomial splines. (English) Zbl 1479.41003 Appl. Math. Lett. 118, Article ID 107159, 11 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A10 41A15 41A30 PDFBibTeX XMLCite \textit{R. Campagna} and \textit{C. Conti}, Appl. Math. Lett. 118, Article ID 107159, 11 p. (2021; Zbl 1479.41003) Full Text: DOI Link
Kolomoitsev, Yurii; Prestin, Jürgen Approximation properties of periodic multivariate quasi-interpolation operators. (English) Zbl 1475.41008 J. Approx. Theory 270, Article ID 105631, 24 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A35 41A25 41A27 42A10 42A15 PDFBibTeX XMLCite \textit{Y. Kolomoitsev} and \textit{J. Prestin}, J. Approx. Theory 270, Article ID 105631, 24 p. (2021; Zbl 1475.41008) Full Text: DOI arXiv
Dem’yanovich, Yu. K. Estimates for local approximations of functions on differential manifold. (English. Russian original) Zbl 1490.41019 J. Math. Sci., New York 257, No. 5, 624-651 (2021); translation from Probl. Mat. Anal. 111, 67-89 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 41A45 53B21 PDFBibTeX XMLCite \textit{Yu. K. Dem'yanovich}, J. Math. Sci., New York 257, No. 5, 624--651 (2021; Zbl 1490.41019); translation from Probl. Mat. Anal. 111, 67--89 (2021) Full Text: DOI
Xu, Guiqiao; Wang, Hui Sample numbers and optimal Lagrange interpolation in Sobolev spaces. (English) Zbl 1475.41003 Rocky Mt. J. Math. 51, No. 1, 347-361 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A25 41A46 65D05 PDFBibTeX XMLCite \textit{G. Xu} and \textit{H. Wang}, Rocky Mt. J. Math. 51, No. 1, 347--361 (2021; Zbl 1475.41003) Full Text: DOI
Shklyaev, K. S. Plane sets that are Chebyshev in some norm. (English. Russian original) Zbl 1475.41014 Mosc. Univ. Math. Bull. 76, No. 2, 69-72 (2021); translation from Vestn. Mosk. Univ., Ser. I 76, No. 2, 35-39 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A65 41A55 PDFBibTeX XMLCite \textit{K. S. Shklyaev}, Mosc. Univ. Math. Bull. 76, No. 2, 69--72 (2021; Zbl 1475.41014); translation from Vestn. Mosk. Univ., Ser. I 76, No. 2, 35--39 (2021) Full Text: DOI
Li, Xiliang; Li, Xin AS++ T-splines: arbitrary degree, nestedness and approximation. (English) Zbl 1479.41009 Numer. Math. 148, No. 4, 795-816 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 65D07 65M15 PDFBibTeX XMLCite \textit{X. Li} and \textit{X. Li}, Numer. Math. 148, No. 4, 795--816 (2021; Zbl 1479.41009) Full Text: DOI
Malachivskyy, P. S.; Melnychok, L. S.; Pizyur, Ya. V. Chebyshev approximation of multivariable functions by the exponential expression. (English. Ukrainian original) Zbl 1470.41031 Cybern. Syst. Anal. 57, No. 3, 429-435 (2021); translation from Kibern. Sist. Anal. 57, No. 3, 106-113 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 41A10 65D15 PDFBibTeX XMLCite \textit{P. S. Malachivskyy} et al., Cybern. Syst. Anal. 57, No. 3, 429--435 (2021; Zbl 1470.41031); translation from Kibern. Sist. Anal. 57, No. 3, 106--113 (2021) Full Text: DOI
Sergienko, I. V.; Lytvyn, O. M.; Lytvyn, O. O.; Tkachenko, O. V.; Biloborodov, A. A. Error optimization in the operators of interlineation of functions on \(M\) parallel lines. (English. Ukrainian original) Zbl 1470.41033 Cybern. Syst. Anal. 57, No. 2, 214-222 (2021); translation from Kibern. Sist. Anal. 57, No. 2, 52-61 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A65 PDFBibTeX XMLCite \textit{I. V. Sergienko} et al., Cybern. Syst. Anal. 57, No. 2, 214--222 (2021; Zbl 1470.41033); translation from Kibern. Sist. Anal. 57, No. 2, 52--61 (2021) Full Text: DOI
Bressan, Andrea; Lyche, Tom Local approximation from spline spaces on box meshes. (English) Zbl 1469.41001 Found. Comput. Math. 21, No. 3, 807-848 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A25 41A63 PDFBibTeX XMLCite \textit{A. Bressan} and \textit{T. Lyche}, Found. Comput. Math. 21, No. 3, 807--848 (2021; Zbl 1469.41001) Full Text: DOI Link
Dai, F.; Prymak, A.; Shadrin, A.; Temlyakov, V.; Tikhonov, S. Entropy numbers and Marcinkiewicz-type discretization. (English) Zbl 1469.41013 J. Funct. Anal. 281, No. 6, Article ID 109090, 25 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 41A46 42B10 46B20 PDFBibTeX XMLCite \textit{F. Dai} et al., J. Funct. Anal. 281, No. 6, Article ID 109090, 25 p. (2021; Zbl 1469.41013) Full Text: DOI arXiv
Başhan, Ali Modification of quintic B-spline differential quadrature method to nonlinear Korteweg-de Vries equation and numerical experiments. (English) Zbl 1466.41005 Appl. Numer. Math. 167, 356-374 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 65M60 PDFBibTeX XMLCite \textit{A. Başhan}, Appl. Numer. Math. 167, 356--374 (2021; Zbl 1466.41005) Full Text: DOI
Zakharov, Victor G. Reproducing fractional monomials: weakening of the Strang-Fix conditions. (English) Zbl 1466.41006 Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 2, Article ID 2050068, 17 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 26A33 41A63 42A38 65D07 PDFBibTeX XMLCite \textit{V. G. Zakharov}, Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 2, Article ID 2050068, 17 p. (2021; Zbl 1466.41006) Full Text: DOI arXiv
Trynin, A. Yu. Sufficient conditions for convergence of generalized sinc-approximations on segment. (English. Russian original) Zbl 1466.41003 J. Math. Sci., New York 255, No. 4, 513-533 (2021); translation from Probl. Mat. Anal. 108, 149-166 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 PDFBibTeX XMLCite \textit{A. Yu. Trynin}, J. Math. Sci., New York 255, No. 4, 513--533 (2021; Zbl 1466.41003); translation from Probl. Mat. Anal. 108, 149--166 (2021) Full Text: DOI
Subbotin, Yu. N.; Baidakova, N. V. Approximation of the derivatives of a function in Lagrange interpolation on low-dimensional simplices. (English. Russian original) Zbl 1464.41001 Proc. Steklov Inst. Math. 312, 261-269 (2021); translation from Tr. Mat. Inst. Steklova 312, 272-281 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A63 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{N. V. Baidakova}, Proc. Steklov Inst. Math. 312, 261--269 (2021; Zbl 1464.41001); translation from Tr. Mat. Inst. Steklova 312, 272--281 (2021) Full Text: DOI
Karvonen, Toni; Särkkä, Simo; Tanaka, Ken’ichiro Correction to: “Kernel-based interpolation at approximate Fekete points”. (English) Zbl 1475.41001 Numer. Algorithms 87, No. 1, 469-471 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A30 65D05 65D12 PDFBibTeX XMLCite \textit{T. Karvonen} et al., Numer. Algorithms 87, No. 1, 469--471 (2021; Zbl 1475.41001) Full Text: DOI
Karvonen, Toni; Särkkä, Simo; Tanaka, Ken’ichiro Kernel-based interpolation at approximate Fekete points. (English) Zbl 07340131 Numer. Algorithms 87, No. 1, 445-468 (2021); correction ibid. 87, No. 1, 469-471 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A30 65D05 65D12 PDFBibTeX XMLCite \textit{T. Karvonen} et al., Numer. Algorithms 87, No. 1, 445--468 (2021; Zbl 07340131) Full Text: DOI arXiv
Berasategui, M.; Berná, P. M. Quasi-greedy bases for sequences with gaps. (English) Zbl 1462.41014 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 208, Article ID 112294, 17 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A65 41A17 41A46 46B15 46B45 PDFBibTeX XMLCite \textit{M. Berasategui} and \textit{P. M. Berná}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 208, Article ID 112294, 17 p. (2021; Zbl 1462.41014) Full Text: DOI
Bonito, Andrea; DeVore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana Polynomial approximation of anisotropic analytic functions of several variables. (English) Zbl 1462.41003 Constr. Approx. 53, No. 2, 319-348 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A10 41A58 41A63 65N15 PDFBibTeX XMLCite \textit{A. Bonito} et al., Constr. Approx. 53, No. 2, 319--348 (2021; Zbl 1462.41003) Full Text: DOI arXiv
Erb, Wolfgang Rhodonea curves as sampling trajectories for spectral interpolation on the unit disk. (English) Zbl 1462.41002 Constr. Approx. 53, No. 2, 281-318 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 42A16 65D05 65T50 PDFBibTeX XMLCite \textit{W. Erb}, Constr. Approx. 53, No. 2, 281--318 (2021; Zbl 1462.41002) Full Text: DOI arXiv
Vinogradov, O. L. Classes of convolutions with a singular family of kernels: sharp constants for approximation by spaces of shifts. (English. Russian original) Zbl 1462.41005 St. Petersbg. Math. J. 32, No. 2, 233-260 (2021); translation from Algebra Anal. 32, No. 2, 45-84 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A17 41A44 41A25 41A45 PDFBibTeX XMLCite \textit{O. L. Vinogradov}, St. Petersbg. Math. J. 32, No. 2, 233--260 (2021; Zbl 1462.41005); translation from Algebra Anal. 32, No. 2, 45--84 (2020) Full Text: DOI
Kolomoitsev, Yu.; Skopina, M. Quasi-projection operators in weighted \(L_p\) spaces. (English) Zbl 1460.41015 Appl. Comput. Harmon. Anal. 52, 165-197 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A58 41A25 41A63 94A12 PDFBibTeX XMLCite \textit{Yu. Kolomoitsev} and \textit{M. Skopina}, Appl. Comput. Harmon. Anal. 52, 165--197 (2021; Zbl 1460.41015) Full Text: DOI arXiv
Goh, Say Song; Goodman, Tim N. T.; Lee, S. L. Orthogonal polynomials, biorthogonal polynomials and spline functions. (English) Zbl 1460.41004 Appl. Comput. Harmon. Anal. 52, 141-164 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A30 41A58 42A38 33C45 65D07 PDFBibTeX XMLCite \textit{S. S. Goh} et al., Appl. Comput. Harmon. Anal. 52, 141--164 (2021; Zbl 1460.41004) Full Text: DOI
Kounchev, O.; Render, H. Error estimates for interpolation with piecewise exponential splines of order two and four. (English) Zbl 1459.41001 J. Comput. Appl. Math. 391, Article ID 113464, 23 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 65D07 31B30 PDFBibTeX XMLCite \textit{O. Kounchev} and \textit{H. Render}, J. Comput. Appl. Math. 391, Article ID 113464, 23 p. (2021; Zbl 1459.41001) Full Text: DOI arXiv
Jeong, Byeongseon; Yang, Hyoseon; Yoon, Jungho A non-uniform corner-cutting subdivision scheme with an improved accuracy. (English) Zbl 1459.41002 J. Comput. Appl. Math. 391, Article ID 113446, 12 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A63 65D17 65D15 PDFBibTeX XMLCite \textit{B. Jeong} et al., J. Comput. Appl. Math. 391, Article ID 113446, 12 p. (2021; Zbl 1459.41002) Full Text: DOI arXiv
Grošelj, Jan; Speleers, Hendrik Super-smooth cubic Powell-Sabin splines on three-directional triangulations: B-spline representation and subdivision. (English) Zbl 1457.41006 J. Comput. Appl. Math. 386, Article ID 113245, 24 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 PDFBibTeX XMLCite \textit{J. Grošelj} and \textit{H. Speleers}, J. Comput. Appl. Math. 386, Article ID 113245, 24 p. (2021; Zbl 1457.41006) Full Text: DOI
Oliveira, J. G.; Tozoni, S. A. Approximation of differentiable and analytic functions by splines on the torus. (English) Zbl 1450.41002 J. Math. Anal. Appl. 493, No. 1, Article ID 124456, 21 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 PDFBibTeX XMLCite \textit{J. G. Oliveira} and \textit{S. A. Tozoni}, J. Math. Anal. Appl. 493, No. 1, Article ID 124456, 21 p. (2021; Zbl 1450.41002) Full Text: DOI
Gu, Jiaxi; Jung, Jae-Hun Adaptive Gaussian radial basis function methods for initial value problems: construction and comparison with adaptive multiquadric radial basis function methods. (English) Zbl 1455.65107 J. Comput. Appl. Math. 381, Article ID 113036, 17 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 65L05 65D12 65L12 65L60 41A15 PDFBibTeX XMLCite \textit{J. Gu} and \textit{J.-H. Jung}, J. Comput. Appl. Math. 381, Article ID 113036, 17 p. (2021; Zbl 1455.65107) Full Text: DOI
Hakopian, Hakop A.; Vardanyan, Navasard K. On the basic properties of \(G C_n\) sets. (English) Zbl 1457.41002 J. Knot Theory Ramifications 29, No. 14, Article ID 2050098, 26 p. (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A63 PDFBibTeX XMLCite \textit{H. A. Hakopian} and \textit{N. K. Vardanyan}, J. Knot Theory Ramifications 29, No. 14, Article ID 2050098, 26 p. (2020; Zbl 1457.41002) Full Text: DOI arXiv
Vinogradov, O. L.; Ulitskaya, A. Yu. Optimal subspaces for mean square approximation of classes of differentiable functions on a segment. (English. Russian original) Zbl 1458.41005 Vestn. St. Petersbg. Univ., Math. 53, No. 3, 270-281 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 3, 404-417 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 PDFBibTeX XMLCite \textit{O. L. Vinogradov} and \textit{A. Yu. Ulitskaya}, Vestn. St. Petersbg. Univ., Math. 53, No. 3, 270--281 (2020; Zbl 1458.41005); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 3, 404--417 (2020) Full Text: DOI
Vinogradov, O. L. A sharp Jackson-Chernykh type inequality for spline approximations on the line. (English. Russian original) Zbl 1458.41004 Vestn. St. Petersbg. Univ., Math. 53, No. 1, 10-19 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 1, 15-27 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 PDFBibTeX XMLCite \textit{O. L. Vinogradov}, Vestn. St. Petersbg. Univ., Math. 53, No. 1, 10--19 (2020; Zbl 1458.41004); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 1, 15--27 (2020) Full Text: DOI
Mishra, Lakshmi Narayan; Pandey, Shikha; Mishra, Vishnu Narayan King type generalization of Baskakov operators based on \((p,q)\) calculus with better approximation properties. (English) Zbl 1457.41010 Analysis, München 40, No. 4, 163-173 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A25 41A35 41A36 PDFBibTeX XMLCite \textit{L. N. Mishra} et al., Analysis, München 40, No. 4, 163--173 (2020; Zbl 1457.41010) Full Text: DOI
Masjed-Jamei, Mohammad; Moalemi, Zahra; Koepf, Wolfram A unified representation for some interpolation formulas. (English) Zbl 1457.41004 Analysis, München 40, No. 3, 113-125 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 65D05 PDFBibTeX XMLCite \textit{M. Masjed-Jamei} et al., Analysis, München 40, No. 3, 113--125 (2020; Zbl 1457.41004) Full Text: DOI
Shevaldin, V. T. Local approximation by parabolic splines in the mean for large averaging intervals. (English. Russian original) Zbl 1455.41002 Math. Notes 108, No. 5, 733-742 (2020); translation from Mat. Zametki 108, No. 5, 771-781 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 PDFBibTeX XMLCite \textit{V. T. Shevaldin}, Math. Notes 108, No. 5, 733--742 (2020; Zbl 1455.41002); translation from Mat. Zametki 108, No. 5, 771--781 (2020) Full Text: DOI
Maier, L.-B. Ambient approximation on embedded submanifolds. (English) Zbl 1454.41002 Constr. Approx. 52, No. 2, 183-211 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A63 65D07 PDFBibTeX XMLCite \textit{L. B. Maier}, Constr. Approx. 52, No. 2, 183--211 (2020; Zbl 1454.41002) Full Text: DOI
Vinogradov, O. L. Analogs of the Riesz identity, and sharp inequalities for derivatives and differences of splines in the integral metric. (English. Russian original) Zbl 1452.41017 J. Math. Sci., New York 251, No. 2, 215-226 (2020); translation from Zap. Nauchn. Semin. POMI 480, 86-102 (2019). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A65 PDFBibTeX XMLCite \textit{O. L. Vinogradov}, J. Math. Sci., New York 251, No. 2, 215--226 (2020; Zbl 1452.41017); translation from Zap. Nauchn. Semin. POMI 480, 86--102 (2019) Full Text: DOI
Hakopian, H.; Vardanyan, N. On the Noether and the Cayley-Bacharach theorems with PD multiplicities. (English) Zbl 1452.41002 J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 3, 156-165 (2020)and Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 3, 30-42 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A63 14H50 PDFBibTeX XMLCite \textit{H. Hakopian} and \textit{N. Vardanyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 3, 156--165 (2020; Zbl 1452.41002) Full Text: DOI arXiv
Blatov, I. A.; Zadorin, A. I.; Kitaeva, E. V. Generalized spline interpolation of functions with large gradients in boundary layers. (English. Russian original) Zbl 1451.41002 Comput. Math. Math. Phys. 60, No. 3, 411-426 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 3, 413-428 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 PDFBibTeX XMLCite \textit{I. A. Blatov} et al., Comput. Math. Math. Phys. 60, No. 3, 411--426 (2020; Zbl 1451.41002); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 3, 413--428 (2020) Full Text: DOI
Wu, Jinming; Ge, Wurong; Zhang, Xiaolei Integro spline quasi-interpolants and their super convergence. (English) Zbl 1450.41003 Comput. Appl. Math. 39, No. 3, Paper No. 239, 11 p. (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 65D07 65D10 PDFBibTeX XMLCite \textit{J. Wu} et al., Comput. Appl. Math. 39, No. 3, Paper No. 239, 11 p. (2020; Zbl 1450.41003) Full Text: DOI
Romani, Lucia; Viscardi, Alberto On the refinement matrix mask of interpolating Hermite splines. (English) Zbl 1448.41009 Appl. Math. Lett. 109, Article ID 106524, 7 p. (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 PDFBibTeX XMLCite \textit{L. Romani} and \textit{A. Viscardi}, Appl. Math. Lett. 109, Article ID 106524, 7 p. (2020; Zbl 1448.41009) Full Text: DOI
Kulikov, E. K.; Makarov, A. A. Quadratic minimal splines with multiple nodes. (English. Russian original) Zbl 1448.41007 J. Math. Sci., New York 249, No. 2, 256-262 (2020); translation from Zap. Nauchn. Semin. POMI 482, 220-230 (2019). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 PDFBibTeX XMLCite \textit{E. K. Kulikov} and \textit{A. A. Makarov}, J. Math. Sci., New York 249, No. 2, 256--262 (2020; Zbl 1448.41007); translation from Zap. Nauchn. Semin. POMI 482, 220--230 (2019) Full Text: DOI
Gao, Wenwu; Zhou, Xuan Multiscale radial kernels with high-order generalized Strang-Fix conditions. (English) Zbl 1458.41002 Numer. Algorithms 85, No. 2, 427-448 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A65 65D05 65D12 PDFBibTeX XMLCite \textit{W. Gao} and \textit{X. Zhou}, Numer. Algorithms 85, No. 2, 427--448 (2020; Zbl 1458.41002) Full Text: DOI
Floater, Michael S.; Hu, Kaibo A characterization of supersmoothness of multivariate splines. (English) Zbl 1447.41014 Adv. Comput. Math. 46, No. 5, Paper No. 70, 15 p. (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A58 41A15 65D07 65N30 PDFBibTeX XMLCite \textit{M. S. Floater} and \textit{K. Hu}, Adv. Comput. Math. 46, No. 5, Paper No. 70, 15 p. (2020; Zbl 1447.41014) Full Text: DOI arXiv
Balasubramani, N.; Prasad, M. Guru Prem; Natesan, S. Shape preserving \(\alpha\)-fractal rational cubic splines. (English) Zbl 1447.28005 Calcolo 57, No. 3, Paper No. 21, 24 p. (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 28A80 26C15 41A05 41A29 PDFBibTeX XMLCite \textit{N. Balasubramani} et al., Calcolo 57, No. 3, Paper No. 21, 24 p. (2020; Zbl 1447.28005) Full Text: DOI
Pepin, A.; Beauchemin, S. S.; Léger, S.; Beaudoin, N. A new method for high-degree spline interpolation: proof of continuity for piecewise polynomials. (English) Zbl 1447.41002 Can. Math. Bull. 63, No. 3, 655-669 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 65D05 65D07 65T50 PDFBibTeX XMLCite \textit{A. Pepin} et al., Can. Math. Bull. 63, No. 3, 655--669 (2020; Zbl 1447.41002) Full Text: DOI
Lange, Kenneth Algorithms from THE BOOK. (English) Zbl 1464.00003 Other Titles in Applied Mathematics 168. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-616-8/pbk; 978-1-61197-617-5/ebook). xi, 214 p. (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 00A09 65-04 05-04 92-04 PDFBibTeX XMLCite \textit{K. Lange}, Algorithms from THE BOOK. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2020; Zbl 1464.00003) Full Text: DOI
Moldovan, Camelia Liliana; Păltănea, Radu The exact form of the second moment of third degree Schoenberg spline operators. (English) Zbl 1447.41001 Numer. Funct. Anal. Optim. 41, No. 11, 1308-1325 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A25 41A36 PDFBibTeX XMLCite \textit{C. L. Moldovan} and \textit{R. Păltănea}, Numer. Funct. Anal. Optim. 41, No. 11, 1308--1325 (2020; Zbl 1447.41001) Full Text: DOI
Angeloni, Laura; Costarelli, Danilo; Vinti, Gianluca Quantitative estimates for sampling type operators with respect to the Jordan variation. (English) Zbl 1446.41008 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 2, 269-284 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A25 41A05 94A20 PDFBibTeX XMLCite \textit{L. Angeloni} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 2, 269--284 (2020; Zbl 1446.41008) Full Text: DOI
Sun, Zhengjie; Wu, Zongmin; Gao, Wenwu An iterated quasi-interpolation approach for derivative approximation. (English) Zbl 1446.41002 Numer. Algorithms 85, No. 1, 255-276 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A63 41A65 65D05 65D10 65D15 PDFBibTeX XMLCite \textit{Z. Sun} et al., Numer. Algorithms 85, No. 1, 255--276 (2020; Zbl 1446.41002) Full Text: DOI
Cavoretto, Roberto; De Rossi, Alessandra A two-stage adaptive scheme based on RBF collocation for solving elliptic PDEs. (English) Zbl 1469.65168 Comput. Math. Appl. 79, No. 11, 3206-3222 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 65N35 65D12 65D15 PDFBibTeX XMLCite \textit{R. Cavoretto} and \textit{A. De Rossi}, Comput. Math. Appl. 79, No. 11, 3206--3222 (2020; Zbl 1469.65168) Full Text: DOI
Gao, Wenwu; Sun, Xingping; Wu, Zongmin; Zhou, Xuan Multivariate Monte Carlo approximation based on scattered data. (English) Zbl 1489.65020 SIAM J. Sci. Comput. 42, No. 4, A2262-A2280 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D05 41A65 65C05 65D10 65D15 PDFBibTeX XMLCite \textit{W. Gao} et al., SIAM J. Sci. Comput. 42, No. 4, A2262--A2280 (2020; Zbl 1489.65020) Full Text: DOI
Gao, Wenwu; Fasshauer, Gregory E.; Sun, Xingping; Zhou, Xuan Optimality and regularization properties of quasi-interpolation: deterministic and stochastic approaches. (English) Zbl 1487.65017 SIAM J. Numer. Anal. 58, No. 4, 2059-2078 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D05 41A05 41A63 65C05 65D10 65D15 PDFBibTeX XMLCite \textit{W. Gao} et al., SIAM J. Numer. Anal. 58, No. 4, 2059--2078 (2020; Zbl 1487.65017) Full Text: DOI
Maier, L.-B. Sparse data interpolation and smoothing on embedded submanifolds. (English) Zbl 1443.41004 J. Sci. Comput. 84, No. 1, Paper No. 19, 27 p. (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A05 46E35 PDFBibTeX XMLCite \textit{L. B. Maier}, J. Sci. Comput. 84, No. 1, Paper No. 19, 27 p. (2020; Zbl 1443.41004) Full Text: DOI
Ward, John Paul; Narcowich, Francis J.; Ward, Joseph D. Interpolating splines on graphs for data science applications. (English) Zbl 1442.41001 Appl. Comput. Harmon. Anal. 49, No. 2, 540-557 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A15 41A65 PDFBibTeX XMLCite \textit{J. P. Ward} et al., Appl. Comput. Harmon. Anal. 49, No. 2, 540--557 (2020; Zbl 1442.41001) Full Text: DOI arXiv
Wang, Haiyong; Zhang, Lun Analysis of multivariate Gegenbauer approximation in the hypercube. (English) Zbl 1441.41002 Adv. Comput. Math. 46, No. 4, Paper No. 53, 29 p. (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A10 41A25 41A63 PDFBibTeX XMLCite \textit{H. Wang} and \textit{L. Zhang}, Adv. Comput. Math. 46, No. 4, Paper No. 53, 29 p. (2020; Zbl 1441.41002) Full Text: DOI arXiv
Berrut, J.-P.; De Marchi, S.; Elefante, G.; Marchetti, F. Treating the Gibbs phenomenon in barycentric rational interpolation and approximation via the S-Gibbs algorithm. (English) Zbl 1440.41004 Appl. Math. Lett. 103, Article ID 106196, 7 p. (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A20 65D05 65D15 65D10 PDFBibTeX XMLCite \textit{J. P. Berrut} et al., Appl. Math. Lett. 103, Article ID 106196, 7 p. (2020; Zbl 1440.41004) Full Text: DOI Link
Carnicer, Jesús M.; Godés, Carmen; Sauer, Tomas Radon’s construction and matrix relations generating syzygies. (English) Zbl 1440.41005 Monatsh. Math. 192, No. 2, 311-332 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 13P10 41A63 PDFBibTeX XMLCite \textit{J. M. Carnicer} et al., Monatsh. Math. 192, No. 2, 311--332 (2020; Zbl 1440.41005) Full Text: DOI
De Marchi, S.; Erb, W.; Marchetti, F.; Perracchione, E.; Rossini, M. Shape-driven interpolation with discontinuous kernels: error analysis, edge extraction, and applications in magnetic particle imaging. (English) Zbl 1444.65006 SIAM J. Sci. Comput. 42, No. 2, B472-B491 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D12 41A05 41A25 65D05 PDFBibTeX XMLCite \textit{S. De Marchi} et al., SIAM J. Sci. Comput. 42, No. 2, B472--B491 (2020; Zbl 1444.65006) Full Text: DOI arXiv
Esmaeilbeigi, M.; Chatrabgoun, O.; Hosseinian-Far, A.; Montasari, R.; Daneshkhah, A. A low cost and highly accurate technique for big data spatial-temporal interpolation. (English) Zbl 1444.65007 Appl. Numer. Math. 153, 492-502 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D12 41A30 41A63 PDFBibTeX XMLCite \textit{M. Esmaeilbeigi} et al., Appl. Numer. Math. 153, 492--502 (2020; Zbl 1444.65007) Full Text: DOI Link
Barbeiro, Sílvia; Lobo, Diogo Learning stable nonlinear cross-diffusion models for image restoration. (English) Zbl 1439.65025 J. Math. Imaging Vis. 62, No. 2, 223-237 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D12 65K05 65M06 65M12 68T07 94-10 PDFBibTeX XMLCite \textit{S. Barbeiro} and \textit{D. Lobo}, J. Math. Imaging Vis. 62, No. 2, 223--237 (2020; Zbl 1439.65025) Full Text: DOI
Dũng, Dinh; Thao, Mai Xuan Dimension-dependent error estimates for sampling recovery on Smolyak grids based on B-spline quasi-interpolation. (English) Zbl 1431.41003 J. Approx. Theory 250, Article ID 105338, 30 p. (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A05 41A25 41A58 41A63 PDFBibTeX XMLCite \textit{D. Dũng} and \textit{M. X. Thao}, J. Approx. Theory 250, Article ID 105338, 30 p. (2020; Zbl 1431.41003) Full Text: DOI
Kroó, András Sharp \(L_p\) Markov type inequality for cuspidal domainsin \(\mathbb{R}^d\). (English) Zbl 1431.41005 J. Approx. Theory 250, Article ID 105336, 6 p. (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A17 41A63 PDFBibTeX XMLCite \textit{A. Kroó}, J. Approx. Theory 250, Article ID 105336, 6 p. (2020; Zbl 1431.41005) Full Text: DOI
De Marchi, S.; Marchetti, F.; Perracchione, E.; Poggiali, D. Polynomial interpolation via mapped bases without resampling. (English) Zbl 1439.65010 J. Comput. Appl. Math. 364, Article ID 112347, 12 p. (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D05 41A05 65D15 PDFBibTeX XMLCite \textit{S. De Marchi} et al., J. Comput. Appl. Math. 364, Article ID 112347, 12 p. (2020; Zbl 1439.65010) Full Text: DOI
Madych, Wolodymyr R. On the convergence of cardinal splines. (English) Zbl 1457.41003 Appl. Comput. Harmon. Anal. 48, No. 1, 508-512 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 40A30 94A20 PDFBibTeX XMLCite \textit{W. R. Madych}, Appl. Comput. Harmon. Anal. 48, No. 1, 508--512 (2020; Zbl 1457.41003) Full Text: DOI
Xu, Guiqiao EC-tractability of \(\mathbb{L}_p\)-approximation in Korobov spaces with exponential weights. (English) Zbl 1429.41032 J. Approx. Theory 249, Article ID 105309, 20 p. (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 65Y20 68Q25 PDFBibTeX XMLCite \textit{G. Xu}, J. Approx. Theory 249, Article ID 105309, 20 p. (2020; Zbl 1429.41032) Full Text: DOI
Amir, Anat; Levin, David Quasi-interpolation for near-boundary approximations. (English) Zbl 1443.41001 Jaen J. Approx. 11, No. 1-2, 67-89 (2019). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A63 65D05 PDFBibTeX XMLCite \textit{A. Amir} and \textit{D. Levin}, Jaen J. Approx. 11, No. 1--2, 67--89 (2019; Zbl 1443.41001) Full Text: Link Link
Kashimoto, M. Interpolation and approximation from sublattices of \(C_0(X; R)\). (English) Zbl 1442.41011 Proyecciones 38, No. 3, 395-400 (2019). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A65 41A05 PDFBibTeX XMLCite \textit{M. Kashimoto}, Proyecciones 38, No. 3, 395--400 (2019; Zbl 1442.41011) Full Text: DOI