On the absolute convergence of general Fourier series

被引：0
|
作者：
Gogoladze, Larry [1 ]
Cagareishvili, Giorgi [1 ]
机构：
[1] I Javakhishvili Tbilisi State Univ, 13 Univ Str, GE-0186 Tbilisi, Georgia
来源：
PUBLICATIONES MATHEMATICAE-DEBRECEN | 2022年 / 100卷 / 3-4期
关键词：
Fourier coefficients; special series; absolute convergence; Lipshitz class; COEFFICIENTS;
D O I：
10.5486/PMD.2022.8855
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is known that the Fourier series of functions of the Lipschitz class for convergent. However, for general ONS, this fact, in general, does not hold. In the present paper, we find the conditions on the functions of an ONS under which the special series of Fourier coefficients of functions from the Lipshitz class are absolutely convergent. It is established that the resulting conditions are the best possible in a certain sense.
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页码：277 / 294
页数：18
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