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Theory of Uniform Approximation of Functions by Polynomials
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Vladislav K. Dzyadyk
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Translated by:
Dmitry V. Malyshev
Language:
English
Published/Copyright:
2008
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
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Frontmatter
i -
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Contents
xi -
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Chapter 1. Chebyshev theory and its development
1 -
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Chapter 2. Weierstrass theorems
111 -
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Chapter 3. On smoothness of functions
167 -
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Chapter 4. Extension
299 -
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Chapter 5. Direct theorems on the approximation of periodic functions
331 -
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Chapter 6. Inverse theorems on the approximation of periodic functions
345 -
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Chapter 7. Approximation by polynomials
379 -
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Backmatter
437
Publishing information
Pages and Images/Illustrations in book
eBook published on:
September 25, 2008
eBook ISBN:
9783110208245
Hardcover published on:
July 15, 2008
Hardcover ISBN:
9783110201475
Pages and Images/Illustrations in book
Front matter:
15
Main content:
480
Audience(s) for this book
Students of Mathematics, Engineering, and Natural Sciences; Researchers; Academic Libraries
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
