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


Exact Constants in Approximation Theory (Encyclopedia of Mathematics and its Applications)

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发表于2024-11-09

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

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

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



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出版者:Cambridge University Press
作者:N. Korneichuk
出品人:
页数:468
译者:Ivanov, K.
出版时间:2009-06-11
价格:USD 80.00
装帧:Paperback
isbn号码:9780521111560
丛书系列:Encyclopedia of Mathematics and its Applications

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Exact Constants in Approximation Theory (Encyclopedia of Mathematics and its Applications) 2024 pdf epub mobi 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.

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

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