On approximation by Abel-Poisson and conjugate Abel-Poisson means in Hölder metric

被引：0

作者：

Krasniqi, Xhevat Z. ^{[1
]}

机构：

[1] Univ Prishtina, Fac Educ, Dept Teaching Math, Ave Mother Theresa 5, Prishtina 10000, Kosovo

来源：

AFRIKA MATEMATIKA | 2024年 / 35卷 / 02期

关键词：

Degree of approximation; Fourier series; Conjugate function; H & ouml; lder class; Abel-Poisson mean; FOURIER-SERIES; CONVERGENCE;

D O I：

10.1007/s13370-024-01190-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The degree of approximation (in H & ouml;lder metric) of a periodic function belonging to a specific H & ouml;lder class by its Abel-Poisson means of Fourier series and of the conjugate function by the conjugate Abel-Poisson means of the conjugate series of the Fourier series is obtained.

引用

页数：13

共 34 条

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[32] Degree of Approximation by the (T. E1) Means of Conjugate Series of Fourier Series in the Holder Metric
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[33] Degree of Approximation by the T.E1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \left( {T.\,E^{\,1} } \right) $$\end{document} Means of Conjugate Series of Fourier Series in the Hölder Metric
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Iranian Journal of Science and Technology, Transactions A: Science, 2019, 43 (4): : 1591 - 1599
[34] Approximation of functions from the class \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ C_{\beta, \infty }^\psi $\end{document} by Poisson integrals in the uniform metric
T. V. Zhyhallo
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Ukrainian Mathematical Journal, 2009, 61 (12) : 1893 - 1914

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