Generalized absolute convergence of Fourier series with respect to multiplicative systems of functions of generalized bounded fluctuation

被引：0

作者：

Volosivets, S. S. ^{[1
]}

Mingachev, A. N. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Saratov 410012, Russia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2022年 / 28卷 / 04期

关键词：

absolute convergence; multiplicative system; double series; generalized bounded fluctuation; SINGLE;

D O I：

10.21538/0134-4889-2022-28-4-78-90

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The series of one-dimensional and two-dimensional Fourier coefficients with respect to multiplicative systems chi (with a bounded generating sequence P = {p(i)}(i=1)(infinity)) with weights satisfying Gogoladze-Meskhia type conditions are studied. Sufficient conditions for the convergence of such series are established for functions from different classes of generalized bounded fluctuation.

引用

页码：78 / 90

页数：13

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