Uniform Approximations by Trigonometric Polynomials 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Stepanets, A.I. 作者

VSP International Science Publishers

译者

2001-6 出版日期

480 页数

$ 569.80 价格

丛书系列

9789067643474 图书编码

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Uniform Approximations by Trigonometric Polynomials 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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The theory of approximation of functions is one of the central branches in mathematical analysis and has been developed over a number of decades. This monograph deals with a series of problems related to one of the directions of the theory, namely, the approximation of periodic functions by trigonometric polynomials generated by linear methods of summation of Fourier series. More specificly, the following linear methods are investigated: classical methods of Fourier, Fejer, Riesz, and Roginski. For these methods the so-called Kolmogorov-Nikol'skii problem is considered, which consists of finding exact and asymptotically exact qualities for the upper bounds of deviations of polynomials generated by given linear methods on given classes of 2-periodic functions. Much attention is also given to the multidimensional case.

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