Rational approximation of real functions
Author(s)
Bibliographic Information
Rational approximation of real functions
（Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 28）
Cambridge University Press, 1987
Available at / 92 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:515.8/P4492070121553
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Note
Bibliography: p. [357]-367
Includes indexes
Description and Table of Contents
Description
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.
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. Pade approximations
- Appendix
- References
- Author index
- Notation and subject index.
by "Nielsen BookData"