Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 2, Pages 63–67
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-2-8 (Mi vmumm4531) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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$\alpha$-monotone sequences and the Lorentz theorem

E. D. Alferovaab, M. I. Dyachenkoab

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/MSU0579-9368-1-64-2-8
Abstract: Properties of $\alpha$-monotone sequences are studied. A relationship between $\alpha$-monotonicity and the limiting rate of change of coefficients is revealed. Operations on sequences that do not lead out of the class $M_\alpha$ are discussed. An analogue of the Lorentz theorem for trigonometric series with coefficients from the classes $M_\alpha$ for $0 <\alpha <1$ is proved.
Key words: monotone coefficients, fractional monotonicity coefficients, cosine series, trigono- metric series, Lorenz theorem.
Funding agency Grant number
Russian Science Foundation 22–21–00545
Received: 06.07.2022
English version:
Moscow University Mathematics Bulletin, 2023, Volume 78, Issue 2, Pages 95–99
DOI: https://doi.org/10.3103/S002713222302002X
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: E. D. Alferova, M. I. Dyachenko, “$\alpha$-monotone sequences and the Lorentz theorem”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 2, 63–67; Moscow University Mathematics Bulletin, 78:2 (2023), 95–99
Citation in format AMSBIB
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\by E.~D.~Alferova, M.~I.~Dyachenko
\paper $\alpha$-monotone sequences and the Lorentz theorem
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 2
\pages 63--67
\mathnet{http://mi.mathnet.ru/vmumm4531}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-2-8}
\zmath{https://zbmath.org/?q=an:7711509}
\elib{https://elibrary.ru/item.asp?id=50506493}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2023
\vol 78
\issue 2
\pages 95--99
\crossref{https://doi.org/10.3103/S002713222302002X}
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    • This publication is cited in the following 1 articles:
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