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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