Theory of Uniform Approximation of Functions by Polynomials (eBook)

Vladislav K. Dzyadyk, Igor A. Shevchuk (Autoren)

eBook Download: PDF

2008
495 Seiten
De Gruyter (Verlag)
978-3-11-020824-5 (ISBN)

Infos

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.

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

Inhalt

Frontmatter 1
Contents 11
Chapter 1. Chebyshev theory and its development 17
Chapter 2. Weierstrass theorems 127
Chapter 3. On smoothness of functions 183
Chapter 4. Extension 315
Chapter 5. Direct theorems on the approximation of periodic functions 347
Chapter 6. Inverse theorems on the approximation of periodic functions 361
Chapter 7. Approximation by polynomials 395
Backmatter 453

Produkt-Details

• Erscheint lt. Verlag: 25.9.2008
• Übersetzer: Dmitry V. Malyshev, Peter V. Malyshev, Vladimir V. Gorunovich
• Verlagsort: Berlin/Boston
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Technik
• Schlagworte: Alternation Set • best approximation • Polynom • polynomial • Tschebyscheffsche Approximation • Uniform Approximation • Uniform Approximation; Polynomial; Alternation Set; Best Approximation
• ISBN-10: 3-11-020824-5 / 3110208245
• ISBN-13: 978-3-11-020824-5 / 9783110208245