Approximation of the function |sin x| s by the partial sums of the trigonmometric rational fourier series-Reference-Cited by-同舟云学术

Approximation of the function |sin x| s by the partial sums of the trigonmometric rational fourier series

Published:2021-02-25 Issue:1 Volume:65 Page:11-17
ISSN:2524-2431
Container-title:Doklady of the National Academy of Sciences of Belarus
language:
Short-container-title:Dokl. Akad. nauk

Author:

Kazlouskaya N. Yu.¹,Rovba Ya. A.¹

Affiliation:

1. Yanka Kupala State University of Grodno

Abstract

In the present article, the approximation of the function |sin x| s by the partial sums of the rational trigonometric Fourier series is considered. An integral representation, uniform and point estimates for the above-mentioned approximation were obtained. Based on them, several special cases of the selection of poles were studied. In the case of the approximation by the partial sums of the polynomial trigonometric Fourier series, an asymptotic equality was found. A detailed study is made of a fixed number of geometrically different poles.

Publisher

Publishing House Belorusskaya Nauka

Reference14 articles.

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