On the convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation

被引：0

作者：

Ushangi Goginava

Artur Sahakian

机构：

[1] Tbilisi State University,Institute of Mathematics, Faculty of Exact and Natural Sciences

[2] Yerevan State University,Faculty of Mathematics and Mechanics

来源：

Acta Scientiarum Mathematicarum | 2011年 / 77卷 / 3-4期

关键词：

Fourier series; Λ-variation; generalized variation; Cesàro means; 42B08;

D O I：

10.1007/BF03643928

中图分类号：

学科分类号：

摘要：

The convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial Λ-variation is investigated. The sufficient and neccessary conditions on the sequence Λ = {λn} are found for the convergence of Cesàro means of Fourier series of functions of bounded partial Λ-variation.

引用

页码：451 / 471

页数：20

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