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. . . . .

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Bibliographic Details

Title: Encyclopedia of Mathematics and its Applications: Series Number 38: Exact Constants in Approximation Theory
Publisher: Cambridge University Press
Publication Date: 1991
Language: English
ISBN 10: 0521382343
ISBN 13: 9780521382342
Binding: Hardcover
Condition: New

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Synopsis

This book is a self-contained introduction to the particular area of approximation theory 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; and optimal reconstruction of functions and linear functionals. Many of the results are based on facts from analysis and function theory, such as duality theory and comparison theorems. Each chapter concludes with commentary, exercises, and extensions of results, and a substantial bibliography is also included.

Book Description

This book provides a self-contained introduction 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. A wide range of questions and problems are discussed.

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