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