Stieglitz, Michael Beste Quadraturformeln für Inzidenzmatrizen ohne ungerade gestützte Sequenzen. (German) Zbl 0417.41015 J. Approximation Theory 25, 176-185 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 41A55 Approximate quadratures 41A25 Rate of convergence, degree of approximation 65D32 Numerical quadrature and cubature formulas Keywords:best quadrature formula; monospline; Polya condition PDFBibTeX XMLCite \textit{M. Stieglitz}, J. Approx. Theory 25, 176--185 (1979; Zbl 0417.41015) Full Text: DOI References: [1] Atkinson, K.; Sharma, A., A partial characterization of poised Hermite-Birkhoff interpolation problems, SIAM J. Numer. Anal., 6, 230-235 (1969) · Zbl 0182.21604 [2] Birkhoff, G. D., General mean value and remainder theorems with applications to mechanical differentiation and quadrature, Trans. Amer. Math. Soc., 7, 107-136 (1906) · JFM 37.0308.02 [3] Ferguson, D., The question of uniqueness for G. D. Birkhoff interpolation problems, J. Approximation Theory, 2, 1-28 (1969) · Zbl 0182.39202 [4] Greville, T. N.E, Spline functions, interpolation and numerical quadrature, (Ralston, A.; Wilf, H. S., Mathematical Methods for Digital Computers, Vol. 2 (1967), Wiley: Wiley New York), 156-168 · Zbl 0312.65007 [5] Greville, T. N.E, Introduction to spline functions, (Greville, T. N.E, Theory and Applications of Spline Functions (1969), Academic Press: Academic Press New York), 1-35 · Zbl 0215.17601 [6] Karlin, S., Best quadrature formulas and splines, J. Approximation Theory, 4, 59-90 (1971) · Zbl 0228.41004 [7] Lorentz, G. G., The Birkhoff interpolation problem: New methods and results, (Linear Operators and Approximation II (1974), Birkhäuser: Birkhäuser Basel/Stuttgart), 481-501 · Zbl 0317.41001 [8] Lorentz, G. G.; Zeller, K. L., Birkhoff interpolation, SIAM J. Numer. Anal., 8, 43-48 (1971) · Zbl 0229.41001 [9] Micchelli, C. A.; Rivlin, T. J., Quadrature formulae and Hermite-Birkhoff interpolation, Advances in Math., 11, 93-112 (1973) · Zbl 0259.41016 [10] Schoenberg, I. J., On monosplines of least deviation and best quadrature formulae, SIAM J. Numer. Anal., 2, 144-170 (1965) · Zbl 0136.36203 [11] Schoenberg, I. J., On Hermite-Birkhoff interpolation, J. Math. Anal. Appl., 16, 538-543 (1966) · Zbl 0156.28702 [12] Schoenberg, I. J., On the Ahlberg-Nilson extension of spline-interpolation: The \(g\)-splines and their optimal properties, J. Math. Anal. Appl., 21, 207-231 (1968) · Zbl 0159.08401 [13] Schoenberg, I. J., Monosplines and quadrature formulae, (Greville, T. N.E, Theory and Applications of Spline Functions (1969), Academic Press: Academic Press New York), 157-207 · Zbl 0203.37002 [14] Schoenberg, I. J., A second look at approximative quadrature formulae and spline interpolation, Advances in Math., 4, 277-300 (1970) · Zbl 0215.17504 [15] Shapiro, H. S., Topics in Approximation Theory (1971), Springer-Verlag: Springer-Verlag Berlin/New York · Zbl 0213.08501 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.