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Adyghe International Scientific Journal, 2024, Volume 24, Issue 1, Pages 23–35
DOI: https://doi.org/10.47928/1726-9946-2024-24-1-23-35 (Mi aman86) 		 
MATHEMATICS

Strong approximation of functions by double Fourier series in generalized Hölder spaces

R. A. Lasuriya, M. R. Golava

Abkhazian State University
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DOI: https://doi.org/10.47928/1726-9946-2024-24-1-23-35
Abstract: We study some problems of strong approximation of the functions of double Fourier series in the generalized Holder spases. Order-accurate estimates for the strong summability functionals of double Fourier series are established, as wel as their approximation properties in the indicated spases.
Keywords: Fourier series, strong approximation, Holder spaces, best approximation.
Received: 05.12.2023
Revised: 21.02.2024
Accepted: 01.03.2024
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: R. A. Lasuriya, M. R. Golava, “Strong approximation of functions by double Fourier series in generalized Hölder spaces”, Adyghe Int. Sci. J., 24:1 (2024), 23–35
Citation in format AMSBIB
\Bibitem{LasGol24}
\by R.~A.~Lasuriya, M.~R.~Golava
\paper Strong approximation of functions by double Fourier series in generalized Hölder spaces
\jour Adyghe Int. Sci. J.
\yr 2024
\vol 24
\issue 1
\pages 23--35
\mathnet{http://mi.mathnet.ru/aman86}
\crossref{https://doi.org/10.47928/1726-9946-2024-24-1-23-35}
\elib{https://elibrary.ru/item.asp?id=https://www.elibrary.ru/item.asp?id=65645636}
\edn{https://elibrary.ru/QFMIGO}
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