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Exact Constants in Approximation Theory (Encyclopedia of Mathematics and its Applications) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

Exact Constants in Approximation Theory (Encyclopedia of Mathematics and its Applications)
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N. Korneichuk 作者
Cambridge University Press
Ivanov, K. 译者
2009-06-11 出版日期
468 页数
USD 80.00 价格
Paperback
Encyclopedia of Mathematics and its Applications 丛书系列
9780521111560 图书编码

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Exact Constants in Approximation Theory (Encyclopedia of Mathematics and its Applications) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Exact Constants in Approximation Theory (Encyclopedia of Mathematics and its Applications) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Exact Constants in Approximation Theory (Encyclopedia of Mathematics and its Applications) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024


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Exact Constants in Approximation Theory (Encyclopedia of Mathematics and its Applications) 在线电子书 图书描述

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 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; 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.

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