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Rational Approximation of Real Functions : Encyclopedia of Mathematics and Its Applications - P. P. Petrushev

Rational Approximation of Real Functions

Encyclopedia of Mathematics and Its Applications

Hardcover Published: 29th April 1988
ISBN: 9780521331074
Number Of Pages: 384

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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.

Preface
Qualitative theory of linear approximation
Qualitative theory of the best rational approximation
Some classical results in the linear theory
Approximation of some important functions
Uniform approximation of some function classes
Converse theorems for rational approximation
Spline approximation and Besov spaces
Relations between rational and spline approximations
Approximation with respect to Hausdorff distance
The o-effect
Lower bounds
Padé approximations
Appendix
References
Author index
Notation and subject index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521331074
ISBN-10: 0521331072
Series: Encyclopedia of Mathematics and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 384
Published: 29th April 1988
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.4 x 15.6  x 2.5
Weight (kg): 0.73