APPROXIMATION OF FUNCTIONS IN A WEIGHTED LEBESGUE SPACE BY MEANS OF THE PICARD SINGULAR INTEGRAL

被引：1

作者：

Singh, Abhay pratap ^{[1
]}

Singh, Uaday ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2023年 / 17卷 / 04期

关键词：

Modulus of smoothness; Picard singular integral; weighted Lebesgue spaces; weighted Holder space; CONVERGENCE;

D O I：

10.7153/jmi-2023-17-102

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The integral transforms, particularly singular integrals, play an important role in approximation theory. In this paper, we study the approximation properties of the Picard singular integral in a weighted Lebesgue space and weighted Holder space. We also show that many of the theorems in the literature dealing with approximation of functions by the Picard singular integral are the special cases of our results.

引用

页码：1551 / 1563

页数：13

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