Approximation of Continuous Functions by Matrix Means of Hexagonal Fourier Series

被引:0
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作者
Ali Guven
机构
[1] Balikesir University,Department of Mathematics, Faculty of Arts and Sciences
来源
Results in Mathematics | 2018年 / 73卷
关键词
-transform; degree of approximation; hexagonal Fourier series; Hölder class; 41A25; 41A63; 42B08;
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摘要
Some estimates for the degree of approximation by matrix means of hexagonal Fourier series of H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf {H}$$\end{document}-periodic continuous functions are obtained. The degree of approximation of H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf {H}$$\end{document}-periodic Hölder continuous functions by these means is investigated in uniform and Hölder norms and some results about Riesz and Nörlund means of hexagonal Fourier series are concluded.
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