Exact Constants in Approximation Theory (Encyclopedia of Mathematics and its Applications, Series Number 38)

Korneichuk, N.

ISBN 10: 0521111560 / ISBN 13: 9780521111560

Published by Cambridge University Press, 2009

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Bibliographic Details

• Title: Exact Constants in Approximation Theory (Encyclopedia of Mathematics and its Applications, Series Number 38)
• Publisher: Cambridge University Press
• Publication Date: 2009
• Language: English
• ISBN 10: 0521111560
• ISBN 13: 9780521111560
• Binding: Soft cover
• 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.