Theory of Uniform Approximation of Functions by Polynomials

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Walter de Gruyter, 2008. 9. 25. - 495페이지
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.
 

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목차

Chapter 1 Chebyshev theory and its development
1
Chapter 2 Weierstrass theorems
111
Chapter 3 On smoothness of functions
167
Chapter 4 Extension
299
Chapter 5 Direct theorems on the approximation of periodic functions
331
Chapter 6 Inverse theorems on the approximation of periodic functions
345
Chapter 7 Approximation by polynomials
379
Backmatter
437
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저자 정보 (2008)

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

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