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On the Issue of Convergence and Summability of General Fourier Series.

Authors :
Gogoladze, L.
Tsagareishvili, G.
Source :
Journal of Contemporary Mathematical Analysis; Aug2023, Vol. 58 Issue 4, p243-252, 10p
Publication Year :
2023

Abstract

The paper considers the issues of convergence and summability of Fourier series of the functions of class for general orthonormal systems (GOSs). The sufficient conditions for the GOS functions are found that make the Fourier series in this system of each function from the class converging almost everywhere, unconditionally converging, or being summable by the method , . The sharpness of some results is proved. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10683623
Volume :
58
Issue :
4
Database :
Complementary Index
Journal :
Journal of Contemporary Mathematical Analysis
Publication Type :
Academic Journal
Accession number :
170062298
Full Text :
https://doi.org/10.3103/S1068362323040039