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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024 Number 4, Pages 13–20 (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

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.

UDC: 517

Received: 09.06.2023

DOI: 10.55959/MSU0579-9368-1-65-4-2


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2024, 79:4, 159–168

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© Steklov Math. Inst. of RAS, 2025