Dzyadyk / Shevchuk Theory of Uniform Approximation of Functions by Polynomials

1. Auflage 2008
ISBN: 978-3-11-020824-5
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 495 Seiten, Gewicht: 10 g

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.

Zielgruppe

Students of Mathematics, Engineering, and Natural Sciences; Resea

Autoren/Hrsg.

Dzyadyk, Vladislav K.

Shevchuk, Igor A.

Weitere Mitwirkende

Malyshev, Dmitry V.

Malyshev, Peter V.

Gorunovich, Vladimir V.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik

Inhaltsverzeichnis

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

Über Autor(innen)

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