Uniqueness in the Uniform Approximation of a Function and Its Derivatives

Abstract

Previous article Uniqueness in the Uniform Approximation of a Function and Its DerivativesF. J. SchuurmannF. J. Schuurmannhttps://doi.org/10.1137/0706029PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] N. I. Achieser, Theory of approximation, Translated by Charles J. Hyman, Frederick Ungar Publishing Co., New York, 1956x+307 MR0095369 0072.28403 Google Scholar[2] R. Creighton Buck, Rudolph Langer, Linear spaces and approximation theory, On numerical approximation. Proceedings of a Symposium, Madison, April 21-23, 1958, Edited by R. E. Langer. Publication no. 1 of the Mathematics Research Center, U.S. Army, the University of Wisconsin, The University of Wisconsin Press, Madison, 1959, 11–23 MR0101611 0083.28801 Google Scholar[3] E. W. Cheney, Introduction to approximation theory, McGraw-Hill Book Co., New York, 1966xii+259 MR0222517 0161.25202 Google Scholar[4] D. G. Moursund, Chebyshev approximations of a function and its derivatives, Math. Comp., 18 (1964), 382–389 MR0166529 0119.32903 CrossrefISIGoogle Scholar[5] E. Ya. Remez, General computational methods of Chebyshev approximation. The problem with linear and real parameters, United States Atomic Energy Commission, Washington, D.C., 1962 Google Scholar[6] John R. Rice, Tchebycheff approximation in several variables, Trans. Amer. Math. Soc., 109 (1963), 444–466 MR0157165 0144.05802 CrossrefGoogle Scholar[7] Lee Johnson, Unicity in approximation of a function and its derivatives, Math. Comp., 22 (1968), 873–875 MR0241856 0176.14101 CrossrefISIGoogle Scholar Previous article FiguresRelatedReferencesCited byDetails Simultaneous approximation, interpolation and Birkhoff systemsJournal of Approximation Theory, Vol. 37, No. 2 Cross Ref Hermite—Birkhoff interpolation and approximation of a function and its derivativesJournal of Approximation Theory, Vol. 30, No. 2 Cross Ref Volume 6, Issue 2| 1969SIAM Journal on Numerical Analysis History Submitted:23 January 1968Published online:14 July 2006 InformationCopyright © 1969 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0706029Article page range:pp. 305-315ISSN (print):0036-1429ISSN (online):1095-7170Publisher:Society for Industrial and Applied Mathematics