Approximations in $L^p $ and Chebyshev Approximations

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Previous article Next article Approximations in $L^p $ and Chebyshev ApproximationsJean DesclouxJean Desclouxhttps://doi.org/10.1137/0111074PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] John R. Rice, Tchebycheff approximation in a compact metric space, Bull. Amer. Math. Soc., 68 (1962), 405–410 MR0139886 CrossrefISIGoogle Scholar[2] N. I. Achieser, Theory of approximation, Translated by Charles J. Hyman, Frederick Ungar Publishing Co., New York, 1956x+307 MR0095369 0072.28403 Google Scholar[3] J. Descioux, Contribution an calcul des approximations de Tschebicheff, thèse présentée a l'École Polytechnique Fédérale de Zurich, 1961 Google Scholar[4] J. Descloux, Approximations in Lp and Tchebycheff Approximations, Report, 117, Digital Computer Laboratory, University of Illinois, Urbana, Illinois, 1962, May Google Scholar[5] E. W. Cheney and , P. C. Curtis, Jr., Research Problem 33: Convex Bodies, Bull. Amer. Math. Soc., 68 (1962), 305– CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Characterizations of Best Complex Chebyshev Approximate Solutions of $Av = b$SIAM Journal on Numerical Analysis, Vol. 13, No. 3 | 14 July 2006AbstractPDF (866 KB)Linear Minimax Approximation as the Limit of Best $L_p $-ApproximationSIAM Journal on Numerical Analysis, Vol. 11, No. 1 | 14 July 2006AbstractPDF (1361 KB)A Finite Step Algorithm for Determining the “Strict” Chebyshev Solution to $Ax=b$SIAM Journal on Numerical Analysis, Vol. 10, No. 4 | 14 July 2006AbstractPDF (787 KB)Uniform Approximation of Functions Through Optimal PartitioningSIAM Journal on Numerical Analysis, Vol. 9, No. 3 | 14 July 2006AbstractPDF (608 KB) Volume 11, Issue 4| 1963Journal of the Society for Industrial and Applied Mathematics831-1113 History Submitted:20 August 1962Published online:13 July 2006 InformationCopyright © 1963 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0111074Article page range:pp. 1017-1026ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics