On the uniform convergence of double sine series with generalized monotone coefficients

被引：0

作者：

Péter Kórus

机构：

[1] University of Szeged,Bolyai Institute

来源：

Periodica Mathematica Hungarica | 2011年 / 63卷

关键词：

sine series; double sine series; Fourier series; uniform convergence; regular convergence; generalized monotonicity; mean value bounded variation; supremum bounded variation; 42A20; 42A32; 42B99;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Chaundy and Jolliffe proved their classical theorem on the uniform convergence of sine series with monotone coefficients in 1916. Lately, it has been generalized using classes MVBVS and SBVS2 instead of monotone sequences. In two variables, the class MVBVDS was studied under the uniform regular convergence of double sine series. We shall generalize those results defining a new class of double sequences for the coefficients.

引用

页码：205 / 214

页数：9

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