Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2024, Number 4, Pages 26–32
DOI: https://doi.org/10.55959/MSU0579-9368-1-65-4-4 (Mi vmumm4616) 		 
Mathematics

Extension of the lower Telyakovskii estimate for the sum of a sine-series with convex coefficient sequence to a longer segment

A. Yu. Popovab, A. P. Solodovab

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/MSU0579-9368-1-65-4-4
Abstract: The lower estimate of the sum of a sine series with a convex sequence of coefficients obtained by S. A. Telyakovskiĭ is extended to a much longer segment.
Key words: sine series with monotone coefficients, sine series with convex coefficients.
Funding agency Grant number
Russian Science Foundation 23-71-30001
The study of the second author was supported by the Russian Science Foundation (project no. 23-71-30001) at the Lomonosov Moscow State University.
Received: 30.08.2023
English version:
Moscow University Mathematics Bulletin, 2024, Volume 79, Issue 4, Pages 175–181
DOI: https://doi.org/10.3103/S0027132224700232
Bibliographic databases:
Document Type: Article
UDC: 517.518.4
Language: Russian
Citation: A. Yu. Popov, A. P. Solodov, “Extension of the lower Telyakovskii estimate for the sum of a sine-series with convex coefficient sequence to a longer segment”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 4, 26–32; Moscow University Mathematics Bulletin, 79:4 (2024), 175–181
Citation in format AMSBIB
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\by A.~Yu.~Popov, A.~P.~Solodov
\paper Extension of the lower Telyakovskii estimate for the sum of a sine-series with convex coefficient sequence to a longer segment
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2024
\issue 4
\pages 26--32
\mathnet{http://mi.mathnet.ru/vmumm4616}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-65-4-4}
\elib{https://elibrary.ru/item.asp?id=68520577}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2024
\vol 79
\issue 4
\pages 175--181
\crossref{https://doi.org/10.3103/S0027132224700232}
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