On the Issue of Convergence and Summability of General Fourier Series

On the Issue of Convergence and Summability of General Fourier Series

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 ev...

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Veröffentlicht in:Journal of contemporary mathematical analysis 2023-08, Vol.58 (4), p.243-252
Hauptverfasser: Gogoladze, L., Tsagareishvili, G.
Format: Artikel
Sprache:eng
Schlagworte:
Convergence
Fourier series
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung: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.
ISSN:1068-3623
1934-9416
DOI:10.3103/S1068362323040039