Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2024, Number 4, Pages 13–20
DOI: https://doi.org/10.55959/MSU0579-9368-1-65-4-2 (Mi vmumm4614) 		 
Mathematics

An algorithm for finding the exact value of the argument for the modulus of continuity in estimate of approximation of a continuous periodic function by a partial sum of its Fourier series

T. Yu. Semenovaab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Moscow Center for Fundamental and Applied Mathematics
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DOI: https://doi.org/10.55959/MSU0579-9368-1-65-4-2
Abstract: A method is given for finding the exact value of the argument of the modulus of continuity in estimates of the rate of convergence of Fourier series.
Key words: Fourier series, rate of convergence, modulus of continuity.
Received: 09.06.2023
English version:
Moscow University Mathematics Bulletin, 2024, Volume 79, Issue 4, Pages 159–168
DOI: https://doi.org/10.3103/S0027132224700219
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: T. Yu. Semenova, “An algorithm for finding the exact value of the argument for the modulus of continuity in estimate of approximation of a continuous periodic function by a partial sum of its Fourier series”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 4, 13–20; Moscow University Mathematics Bulletin, 79:4 (2024), 159–168
Citation in format AMSBIB
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\by T.~Yu.~Semenova
\paper An algorithm for finding the exact value of the argument for the modulus of continuity in estimate of approximation of a continuous periodic function by a partial sum of its Fourier series
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2024
\issue 4
\pages 13--20
\mathnet{http://mi.mathnet.ru/vmumm4614}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-65-4-2}
\elib{https://elibrary.ru/item.asp?id=68520575}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2024
\vol 79
\issue 4
\pages 159--168
\crossref{https://doi.org/10.3103/S0027132224700219}
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