Approximation of Signals in the Weighted Zygmund Class Via Euler-hausdorff Product Summability Mean of Fourier Series

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2020-05-15 DOI:10.18311/jims/2020/22506

A. Das, S. K. Paikray, T. Pradhan, H. Dutta

引用次数: 9

Abstract

Approximation of functions of Lipschitz and zygmund classes have been considered by various researchers under different summability means. In the proposed paper, we have studied an estimation of the order of convergence of Fourier series in the weighted Zygmund class W(Z r (ω) ) by using Euler-Hausdorff product summability mean and accordingly established some (presumably new) results. Moreover, the results obtained here are the generalization of several known results.

查看原文本刊更多论文

加权Zygmund类信号的傅立叶级数的Euler-hausdorff乘积可和性均值逼近

Lipschitz类和zygmund类的函数在不同可和性条件下的逼近问题已被许多研究者所研究。在本文中，我们研究了加权Zygmund类W(zr (ω))中傅里叶级数收敛阶的估计，并用Euler-Hausdorff积可和性均值建立了一些(可能是新的)结果。此外，这里得到的结果是对几个已知结果的推广。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.