9780521382342 - exact constants in approximation theory (encyclopedia of mathematics & its applications) von n. korneichuk , translated by k. ivanov (4 Ergebnisse)

Sprache: Englisch
Verlag: Cambridge University Press, 1991
Serie: Buch 25 von 188 - Encyclopedia of Mathematics and its Applications
- Hardcover
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Sprache: Englisch
Verlag: Cambridge University Press, 1991
Serie: Buch 25 von 188 - Encyclopedia of Mathematics and its Applications
- Hardcover
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Zustand: New. In English.

Sprache: Englisch
Verlag: Cambridge University Press, 1991
Serie: Buch 25 von 188 - Encyclopedia of Mathematics and its Applications
- Hardcover
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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 approxima…tion 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.

Sprache: Englisch
Verlag: Cambridge University Press, 1991
Serie: Buch 25 von 188 - Encyclopedia of Mathematics and its Applications
- Hardcover
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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 Mathe…matics 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.