Theory of Uniform Approximation of Functions by Polynomials

Author: Vladislav K. Dzyadyk   Igor A. Shevchuk   Dmitry V. Malyshev   Peter V. Malyshev   Vladimir V. Gorunovich  

Publisher: De Gruyter‎

Publication year: 2008

E-ISBN: 9783110208245

P-ISBN(Paperback): 9783110201475

Subject: O174.41 Approximation Theory

Keyword: Uniform Approximation Polynomial Alternation Set Best Approximation

Language: ENG

Access to resources Favorite

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Description

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.

Chapter

Contents

pp.:  1 – 11

Frontmatter

pp.:  1 – 1

Chapter 2. Weierstrass theorems

pp.:  17 – 127

Chapter 3. On smoothness of functions

pp.:  127 – 183

Chapter 4. Extension

pp.:  183 – 315

Chapter 5. Direct theorems on the approximation of periodic functions

pp.:  315 – 347

Chapter 6. Inverse theorems on the approximation of periodic functions

pp.:  347 – 361

Chapter 7. Approximation by polynomials

pp.:  361 – 395

Backmatter

pp.:  395 – 453

LastPages

pp.:  453 – 497

The users who browse this book also browse