Selected Topics in Approximation and Computation

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Overview

Selected Topics in Approximation and Computation addresses the relationship between modern approximation theory and computational methods. The text is a combination of expositions of basic classical methods of approximation leading to popular splines and new explicit tools of computation, including Sinc methods, elliptic function methods, and positive operator approximation methods. It also provides an excellent summary of worst case analysis in information based complexity. It relates optimal computational methods with the theory of s-numbers and n-widths. It can serve as a text for senior-graduate courses in computer science and applied mathematics, and also as a reference for professionals.

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Editorial Reviews

From the Publisher
". . .well written and well organized. . .It contains many exercises and can be used as a textbook in an advanced course on topics in approximation theory. . . .The book has a nice blend of theory and applications and should make a valuable reference book to researchers as well as teachers."—Mathematical Reviews

"The authors. . .do a fine job of combining their ideas into a coherent text that is a must for researchers and advanced students of the subject." —Computing Reviews

"This book covers basic results of approximation theory. It contains also new developments in the theory of moments and Sinc approximation, n-widths, s-numbers and the relationship of these to computational algorithms .... This important book can be of great interest to graduate students and researchers in approximation, constructive function theory and numerical methods." —Zentralblatt für Mathematik und ihre Grenzgebiete

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Product Details

Meet the Author

University of Warsaw

both at the University of Utah

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Table of Contents

1. Classical Approximation
2. Splines
3. Sinc Approximation
4. Explicit Sic-Like Methods
5. Moment Problems
6. n-Widths and s-Numbers
7. Optimal Approximation Methods
8. Applications
Index

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  • Posted June 13, 2013

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