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Eurasian Mathematical Journal, 2025, Volume 16, Number 1, Pages 22–31
DOI: https://doi.org/10.32523/2077-9879-2025-16-1-22-31 (Mi emj523) 		 
Some new approaches in the theory of trigonometric series with monotone coefficients

M. I. Dyachenko, A. P. Solodov

Faculty of Mechanics and Mathematics, M.V. Lomonosov Moscow State University, Moscow Center of Fundamental and Applied Mathematics, GSP-1, 1 Leninskie Gory, 119991 Moscow, Russia
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DOI: https://doi.org/10.32523/2077-9879-2025-16-1-22-31
Abstract: In this paper, we observe the latest results concerning the trigonometric series whose coefficients are monotone or fractional monotone. We study the asymptotic properties of the sums for both classes of series and also the problems of convergence and integrability for series with fractional monotone coefficients.
Keywords and phrases: asymptotics, trigonometric series with monotone coefficients, convex sequence, fractional monotonicity.
Funding agency Grant number
Russian Science Foundation 24-11-00114
This work was supported by the Russian Science Foundation (project no. 24-11-00114) and carried out at the M.V. Lomonosov Moscow State University
Received: 11.05.2024
Document Type: Article
MSC: 42A32
Language: English
Citation: M. I. Dyachenko, A. P. Solodov, “Some new approaches in the theory of trigonometric series with monotone coefficients”, Eurasian Math. J., 16:1 (2025), 22–31
Citation in format AMSBIB
\Bibitem{DyaSol25}
\by M.~I.~Dyachenko, A.~P.~Solodov
\paper Some new approaches in the theory of trigonometric series with monotone coefficients
\jour Eurasian Math. J.
\yr 2025
\vol 16
\issue 1
\pages 22--31
\mathnet{http://mi.mathnet.ru/emj523}
\crossref{https://doi.org/10.32523/2077-9879-2025-16-1-22-31}
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