Rational Approximation of Real Functions

Rational Approximation of Real Functions

by P. P. Petrushev, Vasil Atanasov Popov
     
 

ISBN-10: 0521177405

ISBN-13: 9780521177405

Pub. Date: 03/03/2011

Publisher: Cambridge University Press

Originally published in 1987, this book is devoted to the approximation of real functions by real rational functions. These are, in many ways, a more convenient tool than polynomials, and interest in them was growing, especially since D. Newman's work in the mid-sixties. The authors aim at presenting the basic achievements of the subject and, for completeness, also…  See more details below

Overview

Originally published in 1987, this book is devoted to the approximation of real functions by real rational functions. These are, in many ways, a more convenient tool than polynomials, and interest in them was growing, especially since D. Newman's work in the mid-sixties. The authors aim at presenting the basic achievements of the subject and, for completeness, also discuss some topics from complex rational approximation. Certain classical and modern results from linear approximation theory and spline approximation are also included for comparative purposes. This book will be of value to anyone with an interest in approximation theory and numerical analysis.

Product Details

ISBN-13:
9780521177405
Publisher:
Cambridge University Press
Publication date:
03/03/2011
Series:
Encyclopedia of Mathematics and its Applications Series, #28
Edition description:
Reissue
Pages:
384
Product dimensions:
5.98(w) x 9.02(h) x 0.87(d)

Table of Contents

Preface;
1. Qualitative theory of linear approximation;
2. Qualitative theory of the best rational approximation;
3. Some classical results in the linear theory;
4. Approximation of some important functions;
5. Uniform approximation of some function classes;
6. Converse theorems for rational approximation;
7. Spline approximation and Besov spaces;
8. Relations between rational and spline approximations;
9. Approximation with respect to Hausdorff distance;
10. The o-effect;
11. Lower bounds;
12. Padé approximations; Appendix; References; Author index; Notation and subject index.

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