Uniform Approximations by Trigonometric Polynomials
β Scribed by Alexander I. Stepanets
- Publisher
- De Gruyter
- Year
- 2001
- Tongue
- English
- Leaves
- 496
- Edition
- Reprint 2018
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Contents
Preface to the English Edition
Preface to the Russian Edition
Introduction
Chapter 1. SIMPLEST EXTREMAL PROBLEMS
Chapter 2. APPROXIMATION OF FUNCTIONS OF ONE VARIABLE BY FOURIER SUMS
Chapter 3. APPROXIMATION OF FUNCTIONS OF MANY VARIABLES BY FOURIER SUMS
Chapter 4. FEJER SUMS
Chapter 5. SPHERICAL RIESZ SUMS
Chapter 6. ROGOSINSKI SUMS
Chapter 7. FAVARD SUMS
REFERENCES
SUBJECT INDEX
π SIMILAR VOLUMES
A thorough, self-contained and easily accessible treatment of the theory on the polynomial best approximation of functions with respect to maximum norms. The topics include Chebychev theory, WeierstraΓΕΈ theorems, smoothness of functions, and continuation of functions.
<p>A thorough, self-contained and easily accessible treatment of the theory on the polynomial best approximation of functions with respect to maximum norms. The topics include Chebychev theory, WeierstraΓ theorems, smoothness of functions, and continuation of functions.</p>
This book covers the main topics concerned with interpolation and approximation by polynomials. This subject can be traced back to the precalculus era but has enjoyed most of its growth and development since the end of the nineteenth century and is still a lively and flourishing part of mathematics.
This book covers the main topics concerned with interpolation and approximation by polynomials. This subject can be traced back to the precalculus era but has enjoyed most of its growth and development since the end of the nineteenth century and is still a lively and flourishing part of mathematics