Encyclopedia of Mathematics and its Applications: Series Number 38: Exact Constants in Approximation Theory

N. Korneichuk

ISBN 10: 0521382343 / ISBN 13: 9780521382342

Published by Cambridge University Press, 1991

About this Item

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 Editor(s): Rota, G.-C.; Doran, B.; Ismail, M.; Lam, T. Y.; Wutwak, E.; Flajolet, Philippe; Lutwak, E. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 468 pages, appendix, references, list. BIC Classification: PBKS. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 25. Weight in Grams: 884. . 1991. Hardcover. . . . . Books ship from the US and Ireland.

Seller Inventory # V9780521382342

Bibliographic Details

• Title: Encyclopedia of Mathematics and its Applications: Series Number 38: Exact Constants in Approximation Theory
• Publisher: Cambridge University Press
• Publication Date: 1991
• Language: English
• ISBN 10: 0521382343
• ISBN 13: 9780521382342
• Binding: Hardcover
• Condition: New

About this title

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.

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.