Exact Constants in Approximation Theory

Name: Exact Constants in Approximation Theory
Brand: Cambridge University Press
SKU: 9780521382342
Price: 195.17 EUR
Availability: InStock

Автор: N. KorneichukK. Ivanov

Език:

Корици: С твърди корици

Издател: Cambridge University Press

Наличност: Външен склад

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195.17 € 381.71 лв

This book is intended as a self-contained introduction for non-specialists, or as a reference work f...

Информация за книгата

Автор

N. KorneichukK. Ivanov

Език

Английски език

Корици

Книга - С твърди корици

Издадена

1991

страници

468

EAN

9780521382342

ISBN

0521382343

Enbook ID

02029063

Издател

Cambridge University Press

Теглоt

824

Размери

164 x 241 x 32

Пълно описание

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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Информация за книгата

Пълно описание

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