Theory of Uniform Approximation of Functions by Polynomials

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Walter de Gruyter, 2008. 9. 25. - 495ÆäÀÌÁö
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, Weierstra©¬ theorems, smoothness of functions, and continuation of functions.
 

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

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