Methods of approximation theory /
The key point of the monograph is the classification of periodic functions introduced by the author and developed methods that enable one to solve, within the framework of a common approach, traditional problems of approximation theory for large collections of periodic functions. The main results ar...
Saved in:
Main Author: | |
---|---|
Format: | Electronic eBook |
Language: | English |
Published: |
Leiden ; [Boston] :
Brill : [VSP],
©2005.
|
Subjects: | |
Online Access: | CONNECT |
Table of Contents:
- PREFACE; 1. REGULARITY OF LINEAR METHODS OF SUMMATION OF FOURIER SERIES; 2. SATURATION OF LINEAR METHODS; 3. CLASSES OF PERIODIC FUNCTIONS; 4. INTEGRAL REPRESENTATIONS OF DEVIATIONS OF POLYNOMIALS GENERATED BY LINEAR PROCESSES OF SUMMATION OF FOURIER SERIES; 5. APPROXIMATION BY FOURIER SUMS IN SPACES C AND L1; BIBLIOGRAPHICAL NOTES (Part I); REFERENCES (Part I); 6. CONVERGENCE RATE OF FOURIER SERIES AND THE BEST APPROXIMATIONS IN THE SPACES Lp; 7. BEST APPROXIMATIONS IN THE SPACES C AND L; 8. INTERPOLATION; 9. APPROXIMATIONS IN THE SPACES OF LOCALLY SUMMABLE FUNCTIONS.