On weighted integrability of functions defined by trigonometric series with p-bounded variation coefficients

被引：0

作者：

Szal, Bogdan ^{[1
]}

Kubiak, Maciej ^{[1
]}

机构：

[1] Univ Zielona Gora, Fac Math Comp Sci & Econ, Zielona Gora, Poland

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 01期

关键词：

Trigonometric series; Sequences of p-bounded variation; Weighted L-p integrability; CONVERGENCE;

D O I：

10.1186/s13660-019-2225-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce new classes of p-bounded variation sequences and give a sufficient and necessary condition for weighted integrability of trigonometric series with coefficients belonging to these classes. This is a generalization of the results obtained by the first author [J. Inequal. Appl. 2010:1-19, 2010] and Dyachenko and Tikhonov [Stud. Math. 193(3):285-306, 2009].

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页数：18

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