Derriennic, Marie Madeleine Sur l’approximation de fonctions intégrables sur l’interval-0,1-ferme par des polynômes de Bernstein modifies. (French) Zbl 0475.41025 J. Approximation Theory 31, 325-343 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 13 ReviewsCited in 101 Documents MSC: 41A36 Approximation by positive operators 41A10 Approximation by polynomials Keywords:Bernstein polynomial operators; simultaneous approximation procedures; Bernstein Kantorovich polynomials PDFBibTeX XMLCite \textit{M. M. Derriennic}, J. Approx. Theory 31, 325--343 (1981; Zbl 0475.41025) Full Text: DOI References: [1] Berens, H.; De Vore, A., Quantitative Theorems for \(L_p\)-Spaces, (Lorentz, G. G., Approximation Theory II (1976), Academic Press: Academic Press New York), 289-298 [2] Coatmelec, Chr, Approximation et interpolation des fonctions différentiables de plusieurs variables, Ann. Sci. Ecole Norm. Sup., 271-341 (1966) · Zbl 0155.10902 [3] Derriennic, M. M., Sur l’approximation des fonctions d’une ou plusieurs variables par des polynômes de Bernstein modifiés et application au probléme des moments, (Thése de 3e cycle (1978), Université de Rennes) [4] Durrmeyer, J. L., Une formule d’inversion de la transformée de Laplace: Applications à la théorie des moments, (Thése de 3e cycle (1967), Faculté des Sciences de l’Université de Paris) [5] Lorentz, G. G., Bernstein Polynomials (1953), Univ. of Toronto Press: Univ. of Toronto Press Toronto · Zbl 0051.05001 [6] Shisha, O.; Mond, B., The degree of convergence of sequences of linear positive operators, (Proc. Nat. Acad. Sci. USA, 60 (1968)), 1196-1200 · Zbl 0164.07102 [7] Timan, A. F., Theory of Approximation of Functions of a Real Variable (1966), Hindustan Publishing Corporation · Zbl 0117.29001 [8] Voronowskaja, E., Détermination de la forme asymptotique d’approximation des fonctions par des polynômes de Bernstein, C. R. Acad. Sci. URSS, 79-85 (1932) · JFM 58.1062.04 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.