Exact Constants in Approximation Theory

Exact Constants in Approximation Theory

N. Korneichuk, K. Ivanov
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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.
Категории:
Год:
1991
Издание:
1st
Издательство:
Cambridge University Press
Язык:
english
Страницы:
468
ISBN 10:
0521382343
ISBN 13:
9780521382342
Серия:
Encyclopedia of Mathematics and its Applications 38
Файл:
PDF, 18.32 MB
IPFS:
CID , CID Blake2b
english, 1991
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