Theory of Uniform Approximation of Functions by Polynomials

Vladislav K. Dzyadyk; Igor A. Shevchuk

Published by De Gruyter 2008

Theory of Uniform Approximation of Functions by Polynomials

Vladislav K. Dzyadyk and Igor A. Shevchuk
Translated by: Dmitry V. Malyshev , Peter V. Malyshev and Vladimir V. Gorunovich

https://doi.org/10.1515/9783110208245

Overview
Contents

About this book

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.

Author / Editor information

Vladislav K. Dzyadyk and Igor A. Shevchuk, National Taras Shevchenko University of Kiev, Ukraine.

Reviews

"The book could be of interest for all who work in approximation theory and related fields; it should not be overlooked by university libraries."
In: Ems Newsletter 3/2009

"It is useful for students interested in uniform approximation theory, and it can be used as a reference book for researchers as well."
In: L'Enseignement Mathématique 2/2008

Topics

Frontmatter Requires Authentication Unlicensed Licensed Download PDF	i
Contents Requires Authentication Unlicensed Licensed Download PDF	xi
Chapter 1. Chebyshev theory and its development Requires Authentication Unlicensed Licensed Download PDF	1
Chapter 2. Weierstrass theorems Requires Authentication Unlicensed Licensed Download PDF	111
Chapter 3. On smoothness of functions Requires Authentication Unlicensed Licensed Download PDF	167
Chapter 4. Extension Requires Authentication Unlicensed Licensed Download PDF	299
Chapter 5. Direct theorems on the approximation of periodic functions Requires Authentication Unlicensed Licensed Download PDF	331
Chapter 6. Inverse theorems on the approximation of periodic functions Requires Authentication Unlicensed Licensed Download PDF	345
Chapter 7. Approximation by polynomials Requires Authentication Unlicensed Licensed Download PDF	379
Backmatter Requires Authentication Unlicensed Licensed Download PDF	437

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Students of Mathematics, Engineering, and Natural Sciences; Researchers; Academic Libraries
Pages
- Front matter: 15
- Main content: 480
Keywords: Uniform Approximation; Polynomial; Alternation Set; Best Approximation

eBook

Published: September 25, 2008
ISBN: 9783110208245

Hardcover

Published: July 15, 2008
ISBN: 9783110201475