ENGLISH

Exact constants in approximation theory

By Nikolaĭ Pavlovich Korneĭchuk

Book information

Publisher
Cambridge University Press
Year
1991
ISBN
0521382343, 978-0-521-38234-2, 9781107088115, 1107088119, 9781107325791, 110732579X
Language
english
Format
DJVU
Filesize
4 MB (3942671 bytes)
Series
Encyclopedia of mathematics and its applications
Edition
First Edition
Pages
xii, 452 p. : ill\466
Library
kolxo3
DPI
300
Time added
2014-11-04 21:00:00

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, and a substantial bibliography is also included

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