Approximation of integrable functions by general linear operators of their Fourier series at the Lebesgue points

被引：0

作者：

Włodzimierz Łenski

Bogdan Szal

机构：

[1] University of Zielona Góra,Faculty of Mathematics, Computer Science and Econometrics

来源：

Acta Mathematica Hungarica | 2011年 / 131卷

关键词：

rate of approximation; summability of Fourier series; 42A24;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Pointwise estimates of the deviation Tn,A,Bf(⋅)−f(⋅) in terms of moduli of continuity \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $\bar{w}_{\cdot}f$ \end{document} and w⋅f are proved. Analog results on norm approximation with remarks and corollaries are also given. In the results essentially weaker conditions than those in [2, Theorem 1, p. 437] are used.

引用

页码：380 / 394

页数：14

共 22 条

[21] Holder's seminormwise approximation of bivariable functions by the double delayed arithmetic means of Fourier series [J].

Lenski, Wlodzimierz ;

Szal, Bogdan .

FILOMAT, 2024, 38 (21) :7413-7434

[22] Pointwise approximation of modified conjugate functions by matrix operators of conjugate Fourier series of 2π/r\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$2\pi /r$\end{document}-periodic functions [J].

Mateusz Kubiak ;

Włodzimierz Łenski ;

Bogdan Szal .

Journal of Inequalities and Applications, 2018 (1)

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