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Exact Constants in Approximation Theory

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ISBN-10: 0521382343

ISBN-13: 9780521382342

Edition: 1991

Authors: N. P. Korneichuk, K. Ivanov, G. -C. Rota, B. Doran, M. Ismail

List price: $214.99
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Description:

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,…    
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Book details

List price: $214.99
Copyright year: 1991
Publisher: Cambridge University Press
Publication date: 6/6/1991
Binding: Hardcover
Pages: 468
Size: 6.75" wide x 9.75" long x 1.25" tall
Weight: 1.936
Language: English

Preface
Best approximation and duality in extremal problems
Polynomials and spline-functions as approximating tools
Comparison theorems and inequalities for the norms of functions and their derivatives
Polynomial approximation of classes of functions with bounded r-th derivative in Lp
Spline approximation of classes of functions with bounded r-th derivative
Exact constants in Jackson inequalities
Approximation of classes of functions determined by modulus of continuity
N-widths of functional classes and closely related extremal problems
Appendixes
References
List of most important notation