Theory of Uniform Approximation of Functions by Polynomials

✍ Scribed by Vladislav K. Dzyadyk; Igor A. Shevchuk; Dmitry V. Malyshev; Peter V. Malyshev; Vladimir V. Gorunovich

• Publisher: De Gruyter
• Year: 2008
• Tongue: English
• Leaves: 496
• Category: Library

✦ Synopsis

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, Weierstraß theorems, smoothness of functions, and continuation of functions.

✦ Table of Contents

Frontmatter
Contents
Chapter 1. Chebyshev theory and its development
Chapter 2. Weierstrass theorems
Chapter 3. On smoothness of functions
Chapter 4. Extension
Chapter 5. Direct theorems on the approximation of periodic functions
Chapter 6. Inverse theorems on the approximation of periodic functions
Chapter 7. Approximation by polynomials
Backmatter