ON SOME SHARP CONDITIONS FOR GENERALIZED ABSOLUTE CONVERGENCE OF FOURIER SERIES

被引：0

作者：

Golubov, Boris ^{[1
]}

Volosivets, Sergey ^{[2
]}

机构：

[1] Moscow Inst Phys & Technol, 9 Inst Skaya Str, Dolgoprudnyi, Moscow Region, Russia

[2] Saratov NG Chernyshevskii State Univ, Dept Mech & Math, 83 Astrakhanskaya Str, Saratov 410012, Russia

来源：

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2021年 / 175卷 / 03期

关键词：

Trigonometric Fourier series; General orthonormal systems; Generalized absolute convergence;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper,we give some sufficient conditions for generalized absolute convergence of trigonometric Fourier series in terms of L-p and p-variational best approximations or moduli of smoothness and prove their sharpness. Similar conditions for an arbitrary orthonormal system in L-2[0, 1] are considered.

引用

页码：347 / 355

页数：9

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