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Constructive Approximation: Advanced Problems

Constructive Approximation: Advanced Problems

Paperback

Series: Grundlehren Der Mathematischen Wissenschaften, Book 304

General Mathematics

ISBN10: 3642646107
ISBN13: 9783642646102
Publisher: Springer Nature
Published: Dec 21 2011
Pages: 649
Weight: 2.04
Height: 1.34 Width: 6.14 Depth: 9.21
Language: English
In the last 30 years, Approximation Theory has undergone wonderful develop- ment, with many new theories appearing in this short interval. This book has its origin in the wish to adequately describe this development, in particular, to rewrite the short 1966 book of G. G. Lorentz, Approximation of Functions. Soon after 1980, R. A. DeVore and Lorentz joined forces for this purpose. The outcome has been their Constructive Approximation (1993), volume 303 of this series. References to this book are given as, for example rCA, p.201]. Later, M. v. Golitschek and Y. Makovoz joined Lorentz to produce the present book, as a continuation of the first. Completeness has not been our goal. In some of the theories, our exposition offers a selection of important, representative theorems, some other cases are treated more systematically. As in the first book, we treat only approximation of functions of one real variable. Thus, functions of several variables, complex approximation or interpolation are not treated, although complex variable methods appear often.

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General Mathematics