Simultaneous Interpolation and Approximation in Topological Linear Spaces
Frank Deutsch · SIAM Journal on Applied Mathematics · 1966
Previous article Next article Simultaneous Interpolation and Approximation in Topological Linear SpacesFrank DeutschFrank Deutschhttps://doi.org/10.1137/0114095PDFBibTexSections 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] Philip J. Davis, Interpolation and approximation, Blaisdell Publishing Co. Ginn and Co. New York-Toronto-London, 1963xiv+393 MR0157156 0111.06003 Google Scholar[3] P. Davis and , P. Rabinowitz, On the estimation of quadrature errors for analytic functions, Math. Tables and Other Aids to Computation, 8 (1954), 193–203 MR0065256 0056.29103 CrossrefGoogle Scholar[4] Mahlon M. Day, Normed linear spaces, Academic Press Inc., Publishers, New York, 1962vii+139 MR0145316 CrossrefGoogle Scholar[5] Nelson Dunford and , Jacob T. Schwartz, Linear Operators. I. General Theory, With the assistance of W. G. Bade and R. G. Bartle. Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York, 1958xiv+858 MR0117523 0084.10402 Google Scholar[6] J. L. Walsh, Interpolation and Approximation by Rational Functions in the Complex Domain, American Mathematical Society Colloquium Publications, Vol. 20, Providence, 1935 0013.05903 CrossrefGoogle Scholar[7] Hidehiko Yamabe, On an extension of the Helly's theorem, Osaka Math. J., 2 (1950), 15–17 MR0039914 0036.36202 Google Scholar[8] Ivan Singer, Remarque sur un théorème d'approximation de H. Yamabe, Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Nat., 26 (1959), 33–34 MR0104997 0086.09202 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Analytic order-isomorphisms of countable dense subsets of the unit circleCanadian Mathematical Bulletin, Vol. 65, No. 3 | 14 July 2021 Cross Ref An asymptotic holomorphic boundary problem on arbitrary open sets in Riemann surfacesJournal of Approximation Theory, Vol. 257 | 1 Sep 2020 Cross Ref Universal Entire Functions That Define Order Isomorphisms of Countable Real SetsCanadian Mathematical Bulletin, Vol. 62, No. 4 | 10 April 2019 Cross Ref Comonotone approximation and interpolation by entire functionsJournal of Mathematical Analysis and Applications, Vol. 480, No. 2 | 1 Dec 2019 Cross Ref Approximating the Riemann Zeta-function by Polynomials with Restricted ZerosCanadian Mathematical Bulletin, Vol. 62, No. 3 | 17 December 2018 Cross Ref Settings Interpolation and approximation from sublattices of C₀(X; R)Proyecciones (Antofagasta), Vol. 38, No. 3 | 14 August 2019 Cross Ref Approximation of a Function and its Derivatives by Entire FunctionsCanadian Mathematical Bulletin, Vol. 59, No. 01 | 20 November 2018 Cross Ref Universal interpolationAnalysis, Vol. 32, No. 2 | 1 Jun 2012 Cross Ref On the instability of the Riemann hypothesis for curves over finite fieldsJournal of Approximation Theory, Vol. 164, No. 4 | 1 Apr 2012 Cross Ref APPROXIMATION AND INTERPOLATION IN THE SPACE OF CONTINUOUS FUNCTIONS VANISHING AT INFINITYBulletin of the Korean Mathematical Society, Vol. 48, No. 5 | 30 Sep 2011 Cross Ref Simultaneous approximation and interpolation of increasing functions by increasing entire functionsJournal of Mathematical Analysis and Applications, Vol. 350, No. 2 | 1 Feb 2009 Cross Ref Simultaneous approximation on two subsets of an open Riemann surfaceJournal of Approximation Theory, Vol. 138, No. 2 | 1 Feb 2006 Cross Ref Stone–Weierstrass theorems revisitedJournal of Approximation Theory, Vol. 136, No. 1 | 1 Sep 2005 Cross Ref Covering Properties of Most Entire Functions on Stein ManifoldsComputational Methods and Function Theory, Vol. 5, No. 1 | 7 March 2013 Cross Ref Approximation and Interpolation from ModulesNumerical Functional Analysis and Optimization, Vol. 24, No. 7-8 | 31 Dec 2003 Cross Ref Simultaneous approximation and interpolation in weighted spacesRendiconti del Circolo Matematico di Palermo, Vol. 51, No. 3 | 1 Oct 2002 Cross Ref Interpolation and approximation from convex sets. 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