Convergence of the Fourier Series of Lip 1 Functions with Respect to General Orthonormal Systems

被引：0

作者：

L. Gogoladze

V. Tsagareishvili

机构：

[1] Javakhishvili Tbilisi State University,

来源：

Ukrainian Mathematical Journal | 2017年 / 69卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish sufficient conditions that should be satisfied by functions of a general orthonormal system (ONS) {φn(x)} in order that the Fourier series in this system be convergent almost everywhere on [0, 1] for any function from the class Lip 1. It is shown that the obtained conditions are best possible in a certain sense.

引用

下载

页码：546 / 560

页数：14

共 50 条

[1] CONVERGENCE OF THE FOURIER SERIES OF Lip 1 FUNCTIONS WITH RESPECT TO GENERAL ORTHONORMAL SYSTEMS
Gogoladze, L.
Tsagareishvili, V.
UKRAINIAN MATHEMATICAL JOURNAL, 2017, 69 (04) : 546 - 560
[2] Convergence of Fourier series with respect to general orthonormal systems
Gogoladze, L. D.
Tsagareishvili, V. Sh.
MATHEMATICAL NOTES, 2016, 99 (3-4) : 603 - 607
[3] Convergence of Fourier series with respect to general orthonormal systems
L. D. Gogoladze
V. Sh. Tsagareishvili
Mathematical Notes, 2016, 99 : 603 - 607
[4] On the absolute convergence of Fourier series with respect to general orthonormal systems
Tsagareishvili, Vakhtang
GEORGIAN MATHEMATICAL JOURNAL, 2017, 24 (03) : 471 - 478
[5] Functional Conditions for the Convergence of Fourier Series with Respect to General Orthonormal Systems
Tsagareishvili, V. Sh.
RUSSIAN MATHEMATICS, 2011, 55 (05) : 56 - 62
[6] On Fourier coefficients of functions with respect to general orthonormal systems
Tsagareishvili, V. Sh.
IZVESTIYA MATHEMATICS, 2017, 81 (01) : 179 - 198
[7] CONVERGENCE OF FOURIER-SERIES WITH RESPECT TO FRANKLIN ORTHONORMAL SYSTEMS
DEMENKO, VN
MATHEMATICAL NOTES, 1978, 24 (3-4) : 779 - 783
[8] Divergent Fourier series of integrable functions with respect to orthonormal systems
A. S. Krantsberg
Mathematical Notes, 1998, 63 : 631 - 637
[9] Divergent Fourier series of integrable functions with respect to orthonormal systems
Krantsberg, AS
MATHEMATICAL NOTES, 1998, 63 (5-6) : 631 - 637
[10] Some classes of functions and Fourier coefficients with respect to general orthonormal systems
L. Gogoladze
V. Tsagareishvili
Proceedings of the Steklov Institute of Mathematics, 2013, 280 : 156 - 168

← 1 2 3 4 5 →