Product Approximations of Functions of Several Variables

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Next article Product Approximations of Functions of Several VariablesStanley E. WeinsteinStanley E. Weinsteinhttps://doi.org/10.1137/0708020PDFBibTexSections 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] E. W. Cheney, Introduction to approximation theory, McGraw-Hill Book Co., New York, 1966xii+259 MR0222517 0161.25202 Google Scholar[3] Philip J. Davis, Interpolation and approximation, Blaisdell Publishing Co. Ginn and Co. New York-Toronto-London, 1963xiv+393 MR0157156 0111.06003 Google Scholar[4] W. Fraser and , J. F. Hart, On the computation of rational approximations to continuous functions, Comm. ACM, 5 (1962), 401–403 10.1145/368273.368578 0107.33801 CrossrefISIGoogle Scholar[5] A. Haar, Die Minkowskische Geometrie und die Annäherung an stetige Funktionen, Math. 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Weinstein, Masters Thesis, Approximations of functions of several variables: Product Tchebycheff approximations, Doctoral thesis, Michigan State University, East Lansing, 1967 Google Scholar Next article FiguresRelatedReferencesCited byDetails Error bounds for polynomial product approximationJournal of Approximation Theory, Vol. 31, No. 1 Cross Ref Gestufte Approximation in Zwei Variablen Cross Ref Approximation in a Banach space defined by a continuous field of Banach spacesJournal of Approximation Theory, Vol. 27, No. 1 Cross Ref Two-Dimensional Grids for Polynomials Cross Ref Numerical Comparisons of Algorithms for Polynomial and Rational Multivariate ApproximationsJ. N. Henry, M. S. Henry, and D. Schmidt14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 15, No. 6AbstractPDF (1017 KB)Continuity theorems for the rational product approximation operatorJournal of Approximation Theory, Vol. 19, No. 2 Cross Ref Best Chebyshev Composite ApproximationJ. A. Brown and M. S. 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