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Exact order of approximation of periodic functions by one nonclassical method of summation of Fourier series

By using an exact estimate for approximation by known trigonometric polynomials, we strengthen a Jackson-type theorem. Moreover, we determine the exact order of approximation of some periodic functions by these polynomials. For this purpose, we introduce a special modulus of smoothness.

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Bibliographic Details
Date:	2012
Main Authors:	Kotova, O. V., Trigub, R. M., Котова, О. В., Тригуб, Р. М.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2012
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2631
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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