Estimating Gauss–Chebyshev Quadrature Errors

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Previous article Next article Estimating Gauss–Chebyshev Quadrature ErrorsR. D. Riess and L. W. JohnsonR. D. Riess and L. W. Johnsonhttps://doi.org/10.1137/0706050PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] M. M. Chawla, Error bounds for the Gauss-Chebyshev quadrature formula of the closed type, Math. Comp., 22 (1968), 889–891 MR0239756 0187.10602 CrossrefISIGoogle Scholar[2] M. M. Chawla and , M. K. Jain, Error estimates for Gauss quadrature formulas for analytic functions, Math. Comp., 22 (1968), 82–90 MR0223093 0155.21602 CrossrefISIGoogle Scholar[3] Philip J. Davis, J. Todd, Errors of numerical approximation for analytic functionsSurvey of numerical analysis, McGraw-Hill, New York, 1962, 468–484 MR0135721 Google Scholar[4] David Elliott, Chebyshev series method for the numerical solution of Fredholm integral equations, Comput. J., 6 (1963/1964), 102–111 10.1093/comjnl/6.1.102 MR0155452 0114.32502 CrossrefISIGoogle Scholar[5] G. G. Lorentz, Approximation of functions, Holt, Rinehart and Winston, New York, 1966ix+188 MR0213785 0153.38901 Google Scholar[6] Philip Rabinowitz, Error bounds in Gaussian integration of functions of low-order continuity, Math. Comp., 22 (1968), 431–434 MR0226861 0181.17802 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails On convergence rates of Fejér and Gauss–Chebyshev quadrature rulesJournal of Mathematical Analysis and Applications, Vol. 405, No. 2 | 1 Sep 2013 Cross Ref A simple quadrature-type method for the computation of real zeros of analytic functions in finite intervalsBIT, Vol. 25, No. 1 | 1 Mar 1985 Cross Ref A Chebyshev series approxiamtion to continuous functionsComputer Physics Communications, Vol. 23, No. 2 | 1 Jul 1981 Cross Ref A Survey of Gauss-Christoffel Quadrature FormulaeE. B. Christoffel | 1 Jan 1981 Cross Ref Advances in Chebyshev quadratureNumerical Analysis | 21 September 2006 Cross Ref Vergleich von Tschebyscheff-IntegrationsmethodenZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 53, No. 1 | 1 Jan 1973 Cross Ref Concerning Gaussian–Chebyshev Quadrature ErrorsCharles K. ChuiSIAM Journal on Numerical Analysis, Vol. 9, No. 2 | 3 August 2006AbstractPDF (187 KB)A Note on Error Bounds for Gauss–Chebyshev QuadratureR. D. RiessSIAM Journal on Numerical Analysis, Vol. 8, No. 3 | 14 July 2006AbstractPDF (132 KB)Error estimates for Clenshaw-Curtis quadratureNumerische Mathematik, Vol. 18, No. 4 | 1 Aug 1971 Cross Ref Volume 6, Issue 4| 1969SIAM Journal on Numerical Analysis523-616 History Submitted:15 April 1969Published online:14 July 2006 InformationCopyright © 1969 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0706050Article page range:pp. 557-559ISSN (print):0036-1429ISSN (online):1095-7170Publisher:Society for Industrial and Applied Mathematics