Approximation of f, conjugate function of f belonging to a subclass of Lp-space, by product means of conjugate Fourier series

被引：0

作者：

Saini, Soshal ^{[1
]}

Singh, Uaday ^{[1
]}

机构：

[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttarakhand, India

来源：

JOURNAL OF ANALYSIS | 2020年 / 28卷 / 01期

关键词：

L-p((omega)over-tilde)(beta)-class; Product means; Conjugate fourier series; Degree of approximation; GENERAL LINEAR-OPERATORS; INTEGRABLE FUNCTIONS;

D O I：

10.1007/s41478-017-0051-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The deviation of (f) over tilde, conjugate function of f, by various summability means of its conjugate Fourier series has been of growing interest of researchers. Recently, the authors (W. Lenski and B. Szal, 47(4):878-892 (2014)) have estimated the pointwise deviation of (f) over tilde in terms of modulus of continuity in L-p-space by product means. In this paper, we obtained the deviation of (f) over tilde, conjugate function of f belonging to a subclass of L-p(p >= 1)-space, with less assumption conditions on the product matrix. We introduce different conditions on the modulus of continuity. We also discuss the case for p = 1 separately. Our results are free from p.

引用

页码：155 / 167

页数：13

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