Degree of approximation of functions belonging to Lip(omega(t), p)-class by linear operators based on Fourier series

被引：0

作者：

Saini, Soshal ^{[1
]}

Singh, Uaday ^{[1
]}

机构：

[1] IIT Roorkee, Dept Math, Roorkee 247667, Uttarakhand, India

来源：

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2016年 / 9卷 / 04期

关键词：

Degree of approximation; Lip(omega(t); p)-class; Conjugate Fourier series;

D O I：

10.1007/s40574-016-0064-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Fourier series and operators based on it are of great importance in both theoretical and applied mathematics because they can be considered as representation of a function or signal. In this paper, we estimate the degree of approximation of f is an element of Lip(omega(t), p)-class and its conjugate (f) over tilde, by matrix means of their trigonometric Fourier series by relaxing the conditions on omega(t) imposed by the earlier researchers. We also discuss some results which are analogous to our results.

引用

页码：495 / 504

页数：10

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[8] Degree of approximation of functions belonging to Lip(ω(t),p)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Lip(\omega (t),p)$$\end{document}-class by linear operators based on Fourier series
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