Exact Constants in Approximation Theory (Encyclopedia of Mathematics & Its Applications) - Hardcover
Buch 25 von 188: Encyclopedia of Mathematics and its Applications
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A self-contained introduction for non-specialists, or a reference work for experts, on the area of approximation theory concerned with exact constants.
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Exact Constants in Approximation Theory (Encyclopedia of Mathematics and its Applications, Series Number 38)
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Cambridge University Press, 1991
ISBN 10: 0521382343
ISBN 13: 9780521382342
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Exact Constants in Approximation Theory (Encyclopedia of Mathematics and its Applications, Series Number 38)
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Exact Constants in Approximation Theory
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is intended as a self-contained introduction for non-specialists, or as a reference work for experts, to the particular area of approximation theory that is concerned with exact constants. The results apply mainly to extremal problems in approximation theory, which in turn are closely related to numerical analysis and optimization. The book encompasses a wide range of questions and problems: best approximation by polynomials and splines; linear approximation methods, such as spline-approximation; optimal reconstruction of functions and linear functionals. Many of the results are based on deep facts from analysis and function theory, such as duality theory and comparison theorems; these are presented in chapters 1 and 3. In keeping with the author's intention to make the book as self-contained as possible, chapter 2 contains an introduction to polynomial and spline approximation. Chapters 4 to 7 apply the theory to specific classes of functions. The last chapter deals with n-widths and generalises some of the ideas of the earlier chapters. Each chapter concludes with commentary, exercises and extensions of results. A substantial bibliography is included. Many of the results collected here have not been gathered together in book form before, so it will be essential reading for approximation theorists. Artikel-Nr. 9780521382342
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Encyclopedia of Mathematics and its Applications: Series Number 38: Exact Constants in Approximation Theory
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Zustand: New. A self-contained introduction for non-specialists, or a reference work for experts, on the area of approximation theory concerned with exact constants. Translator(s): Ivanov, K. Series Editor(s): Rota, G.-C.; Doran, B.; Ismail, M.; Lam, T. Y.; Wutwak, E.; Flajolet, Philippe; Lutwak, E. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 468 pages, appendix, references, list. BIC Classification: PBKS. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 25. Weight in Grams: 884. . 1991. Hardcover. . . . . Books ship from the US and Ireland. Artikel-Nr. V9780521382342
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