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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2024, Number 4, Pages 67–79
DOI: https://doi.org/10.26907/0021-3446-2024-4-67-79 (Mi ivm9973) 		 
On the absolute convergence of Fourier series of almost periodic functions

Yu. Kh. Khasanova, F. M. Talbakovb

a Russian-Tajik Slavonic University, 30 M. Tursunzoda str., Dushanbe, 734025 Republic of Tajikistan
b Tajik State Pedagogical University named after S. Aenya, 121 Rudaki str., Dushanbe, 734003 Republic of Tajikistan
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DOI: https://doi.org/10.26907/0021-3446-2024-4-67-79
Abstract: The paper investigates sufficient conditions for the absolute convergence of trigonometric Fourier series of almost-periodic functions in the sense of Besikovitch in the case when the Fourier exponents have a single limiting point at infinity. A higher-order modulus of continuity is used as a structural characteristic of the function under consideration.
Keywords: almost-periodic Besikovitch function, Fourier series, function spectrum, Fourier coefficients, modulus of continuity, trigonometric polynomial.
Received: 10.03.2023
Revised: 11.09.2023
Accepted: 26.09.2023
Document Type: Article
UDC: 517.518
Language: Russian
Citation: Yu. Kh. Khasanov, F. M. Talbakov, “On the absolute convergence of Fourier series of almost periodic functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 4, 67–79
Citation in format AMSBIB
\Bibitem{KhaTal24}
\by Yu.~Kh.~Khasanov, F.~M.~Talbakov
\paper On the absolute convergence of Fourier series of almost periodic functions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2024
\issue 4
\pages 67--79
\mathnet{http://mi.mathnet.ru/ivm9973}
\crossref{https://doi.org/10.26907/0021-3446-2024-4-67-79}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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