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Exact Constants in Approximation Theory (Encyclopedia of Mathematics and its Applications, Series Number 38) - Softcover
Book 25 of 188: Encyclopedia of Mathematics and its Applications
Synopsis
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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Book Description
This book provides a self-contained introduction 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. A wide range of questions and problems are discussed.
Language Notes
Text: English (translation)
Original Language: Russian
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Exact Constants in Approximation Theory
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Exact Constants in Approximation Theory (Encyclopedia of Mathematics and its Applications, Series Number 38)
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Exact Constants in Approximation Theory: 38 (Encyclopedia of Mathematics and its Applications, Series Number 38)
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Condition: New. A self-contained introduction for non-specialists, or a reference work for experts, on the area of approximation theory concerned with exact constants. Translator(s): Ivanov, K. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 468 pages, black & white illustrations. BIC Classification: PBKS. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 24. Weight in Grams: 650. . 2009. 1st Edition. paperback. . . . . Seller Inventory # V9780521111560
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Exact Constants in Approximation Theory (Encyclopedia of Mathematics and its Applications, Series Number 38)
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Exact Constants in Approximation Theory: 38 (Encyclopedia of Mathematics and its Applications, Series Number 38)
Published by
Cambridge University Press, 2009
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ISBN 13: 9780521111560
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Condition: New. A self-contained introduction for non-specialists, or a reference work for experts, on the area of approximation theory concerned with exact constants. Translator(s): Ivanov, K. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 468 pages, black & white illustrations. BIC Classification: PBKS. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 24. Weight in Grams: 650. . 2009. 1st Edition. paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780521111560
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Paperback. Condition: new. Paperback. 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. This book provides a self-contained introduction 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. A wide range of questions and problems are discussed. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521111560
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book provides a self-contained introduction 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 ana. Seller Inventory # 446926039
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Taschenbuch. Condition: Neu. 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
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