On the degree of approximation of functions in a weighted Lipschitz class by almost matrix summability method

被引:0
|
作者
Arti Rathore
Uaday Singh
机构
[1] Indian Institute of Technology Roorkee,Department of Mathematics
来源
The Journal of Analysis | 2020年 / 28卷
关键词
Fourier series; Conjugate function; Degree of approximation; Weighted norm; Generalized Minkowski inequality and Almost matrix means; 41A25; 26A15; 40A35;
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摘要
In this paper, we obtain the degree of approximation of functions belonging to the weighted Lipschitz class W(Lp,ξ(t))\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$W(L^p,\xi (t))$$\end{document} and their conjugates through almost matrix means of their Fourier series and conjugate Fourier series, respectively. We also derive some corollaries from our theorems.
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页码:21 / 33
页数:12
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