Iterative Construction of Constrained Chebyshev Approximation of Continuous Functions

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Previous article Next article Iterative Construction of Constrained Chebyshev Approximation of Continuous FunctionsR. C. Jones and L. A. KarlovitzR. C. Jones and L. A. Karlovitzhttps://doi.org/10.1137/0705046PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] 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[2] E. YA. Remez, Sur la détermination des polynômes d'approximation degré donnée, Comm. Soc. Math. Kharkov, 10 (1934), 41–63 0011.06303 Google Scholar[3] R. J. Duffin and , L. A. Karlovitz, Formulation of linear programs in analysis. I. Approximation theory, SIAM J. Appl. Math., 16 (1968), 662–675 10.1137/0116054 MR0234186 0186.11002 LinkISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Computer program for the discrete linear restricted Chebyshev approximationJournal of Computational and Applied Mathematics, Vol. 7, No. 2 Cross Ref The discrete linear restricted Chebyshev approximationBIT, Vol. 17, No. 3 Cross Ref Characterization theorems for constrained approximation problems via optimization theoryJournal of Approximation Theory, Vol. 14, No. 1 Cross Ref The Calculation of Best Restricted ApproximationsG. A. Watson14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 11, No. 4AbstractPDF (431 KB)Approximation with Convex ConstraintsJames T. Lewis18 July 2006 | SIAM Review, Vol. 15, No. 1AbstractPDF (2399 KB)Uniform approximation by polynomials having bounded coefficients26 November 2013 | Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, Vol. 36, No. 1 Cross Ref A Survey of Practical Rational and Polynomial Approximation of FunctionsW. J. Cody18 July 2006 | SIAM Review, Vol. 12, No. 3AbstractPDF (2298 KB)Calculation of Best Restricted ApproximationsG. D. Taylor and M. J. Winter14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 7, No. 2AbstractPDF (704 KB)Zur Theorie der nichtlinearen Tschebyscheff-Approximation mit NebenbedingungenNumerische Mathematik, Vol. 14, No. 1 Cross Ref Formulation of Linear Programs in Analysis. I: Approximation TheoryR. J. Duffin and L. A. Karlovitz12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 16, No. 4AbstractPDF (1382 KB) Volume 5, Issue 3| 1968SIAM Journal on Numerical Analysis History Submitted:15 September 1967Published online:14 July 2006 InformationCopyright © 1968 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0705046Article page range:pp. 574-585ISSN (print):0036-1429ISSN (online):1095-7170Publisher:Society for Industrial and Applied Mathematics