Barrar, R. B.; Loeb, Henry L.; Werner, Helmut On the existence of optimal integration formulas for analytic functions. (English) Zbl 0279.65019 Numer. Math. 23, 105-107 (1974). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 15 Documents MSC: 65D30 Numerical integration 65E05 General theory of numerical methods in complex analysis (potential theory, etc.) 41A55 Approximate quadratures PDFBibTeX XMLCite \textit{R. B. Barrar} et al., Numer. Math. 23, 105--107 (1974; Zbl 0279.65019) Full Text: DOI EuDML References: [1] Davis, P.: Interpolation and approximation. New York: Blaisdell 1963 · Zbl 0111.06003 [2] Richter-Dyn, N.: Properties of minimal integration rules II. SIAM J. Numer. Anal.8, 497-508 (1971) · Zbl 0229.65017 · doi:10.1137/0708047 [3] Barrar, R. B., Loeb, H. L.: Analytic extended monosplines. Num. Math.22, 119-125 (1974) · Zbl 0265.65012 · doi:10.1007/BF01436726 [4] Karlin, S., Studden, W. S.: Tchebycheff systems: With applications in analysis and statistics. Pure and Appl. Math. Vol. 15. New York: Interscience 1966 · Zbl 0153.38902 [5] Barrar, R. B., Loeb, H. L.: On extended varisolvent families. Journal d’Analyse Math.26, 243-254 (1973) · Zbl 0272.41009 · doi:10.1007/BF02790432 [6] Barrar, R. B., Loeb, H. L.: Non-linearL p approximations. J. Math. Anal. and Appl.40, 427-435 (1972) · Zbl 0243.41017 · doi:10.1016/0022-247X(72)90061-3 [7] Richter-Dyn, N.: Properties of minimal integration rules. SIAM J. Numer. Anal.7, 61-79 (1970) · Zbl 0222.65023 [8] Richter-Dyn, N.: Minimal interpolation and approximation in Hilbert spaces. SIAM J. Num. Anal.8, 583-597 (1971) · Zbl 0229.65016 · doi:10.1137/0708056 [9] Eckhardt, U.: Einige Eigenschaften Wilfscher Quadraturen. Num. Math.2, 1-7 (1968) · Zbl 0165.51002 · doi:10.1007/BF02170990 [10] Karlin, S.: On a class of non-linear approximation problems. Bulletin Amer. Math. Soc.18, 43-48 (1972) · Zbl 0229.41009 · doi:10.1090/S0002-9904-1972-12842-8 [11] Bergman, S.: The Kernel functions and conformal mapping. Mathematical Surveys, No. 5, American Math. Soc., 1950 · Zbl 0040.19001 [12] Meschkowski, H.: Hilbertsche Räume mit Kernfunktion. Berlin-Göttingen-Heidelberg: Springer 1962 · Zbl 0103.08802 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.