Exact Constants in Approximation Theory
Language: English
Published by Cambridge University Press, 2009
Series: Book 25 of 188 - Encyclopedia of Mathematics and its Applications
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
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Add to basketItem description from seller
Druck auf Anfrage Neuware - Printed after ordering - 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.…
Seller Inventory # 9780521111560
- Title
- Exact Constants in Approximation Theory
- Author
- N. Korneichuk
- Publisher
- Cambridge University Press
- Publication year
- 2009
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 0521111560
- ISBN 13
- 9780521111560
- Item weight
- 705 grams
- Dimensions
- 234x156x25 mm
- Series
- Book 25 of 188: Encyclopedia of Mathematics and its Applications
"Synopsis" may belong to another edition of this title.
Review
"...will be useful to mathematicians who work in approximation theory and are interested in best-constant questions...some people who work in numerical analysis or computational mathematics may also be interested in it." T.M. Mills, The Mathematical Intelligencer
"About the title" may belong to another edition of this title.
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