Uniform Generalized Weight Function Polynomial Approximation with Interpolation

Abstract

Previous article Next article Uniform Generalized Weight Function Polynomial Approximation with InterpolationH. L. Loeb, D. G. Moursund, L. L. Schumaker, and G. D. TaylorH. L. Loeb, D. G. Moursund, L. L. Schumaker, and G. D. Taylorhttps://doi.org/10.1137/0706026PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] S. Paszkowski, On approximation with nodes, Rozprawy Mat., 14 (1957), 63– MR0092888 0083.29002 Google Scholar[2] Frank Deutsch, On uniform approximation with interpolatory constraints, J. Math. Anal. Appl., 24 (1968), 62–79 10.1016/0022-247X(68)90049-8 MR0230017 0174.35501 CrossrefISIGoogle Scholar[3] E. W. Cheney and , H. L. Loeb, Generalized rational approximation, J. Soc. Indust. Appl. Math. Ser. B Numer. Anal., 1 (1964), 11–25 MR0178288 0138.04403 LinkGoogle Scholar[4] Samuel Karlin and , William J. Studden, Tchebycheff systems: With applications in analysis and statistics, Pure and Applied Mathematics, Vol. XV, Interscience Publishers John Wiley & Sons, New York-London-Sydney, 1966xviii+586 MR0204922 0153.38902 Google Scholar[5] David G. Moursund, Chebyshev approximation using a generalized weight function, SIAM J. Numer. Anal., 3 (1966), 435–450 10.1137/0703038 MR0204936 0163.07302 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails A general framework for the optimal approximation of circular arcs by parametric polynomial curvesJournal of Computational and Applied Mathematics, Vol. 345 | 1 Jan 2019 Cross Ref Strong unicity of order 2 in C(T)Journal of Approximation Theory, Vol. 56, No. 3 | 1 Mar 1989 Cross Ref The Best Interpolating Approximation is a Limit of Best Weighted ApproximationsCanadian Mathematical Bulletin, Vol. 25, No. 4 | 20 November 2018 Cross Ref The best interpolating approximation and weighted approximationJournal of Approximation Theory, Vol. 35, No. 1 | 1 Oct 1982 Cross Ref Remez algorithm for Chebyshev approximation with interpolationComputing, Vol. 28, No. 1 | 1 Mar 1982 Cross Ref Discrete chebyshev approximation with interpolationInternational Journal of Computer Mathematics, Vol. 11, No. 3-4 | 19 March 2007 Cross Ref Approximation with interpolatory constraintsJournal of Mathematical Analysis and Applications, Vol. 64, No. 2 | 1 Jun 1978 Cross Ref Approximation with constraints in normed linear spacesJournal of Approximation Theory, Vol. 21, No. 3 | 1 Nov 1977 Cross Ref An alternation theory for copositive approximationJournal of Approximation Theory, Vol. 19, No. 2 | 1 Feb 1977 Cross Ref The Remez exchange algorithm for approximation with linear restrictionsTransactions of the American Mathematical Society, Vol. 223, No. 0 | 1 January 1976 Cross Ref Best uniform approximation with Hermite-Birkhoff interpolatory side conditionsJournal of Approximation Theory, Vol. 15, No. 2 | 1 Oct 1975 Cross Ref Optimal rational starting approximationsJournal of Approximation Theory, Vol. 12, No. 2 | 1 Oct 1974 Cross Ref Optimal starting approximations for iterative schemesJournal of Approximation Theory, Vol. 9, No. 1 | 1 Sep 1973 Cross Ref Approximation with Convex ConstraintsJames T. LewisSIAM Review, Vol. 15, No. 1 | 18 July 2006AbstractPDF (2399 KB)A generalization of the varisolvency and unisolvency propertiesJournal of Approximation Theory, Vol. 7, No. 1 | 1 Jan 1973 Cross Ref Nonlinear Tchebycheff approximation with constraintsJournal of Approximation Theory, Vol. 6, No. 3 | 1 Oct 1972 Cross Ref A unified approach to uniform real approximation by polynomials with linear restrictionsTransactions of the American Mathematical Society, Vol. 166, No. 0 | 1 January 1972 Cross Ref Kolmogoroff's criterion for constrained rational approximationJournal of Approximation Theory, Vol. 4, No. 2 | 1 Jun 1971 Cross Ref Uniform rational approximation with osculatory interpolationJournal of Computer and System Sciences, Vol. 4, No. 6 | 1 Dec 1970 Cross Ref Approximation by functions having restricted ranges: Equality caseNumerische Mathematik, Vol. 14, No. 1 | 1 Dec 1969 Cross Ref Volume 6, Issue 2| 1969SIAM Journal on Numerical Analysis161-315 History Submitted:30 September 1968Published online:14 July 2006 InformationCopyright © 1969 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0706026Article page range:pp. 284-293ISSN (print):0036-1429ISSN (online):1095-7170Publisher:Society for Industrial and Applied Mathematics