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Eurasian Mathematical Journal, 2024, Volume 15, Number 2, Pages 92–100
DOI: https://doi.org/10.32523/2077-9879-2024-15-2-92-100 (Mi emj504) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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Inequalities for trigonometric polynomials in periodic Morrey spaces

V. I. Burenkovab, D. J. Josephc

a V.A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, 65 Profsoyuznaya St, 117997 Moscow, Russian Federation
b V.A. Steklov Mathematical Institute, Russian Academy of Sciences, 42 Gubkin St, 117966 Moscow, Russian Federation
c S.M. Nikol’skii Mathematical Institute, RUDN University, 6 Miklukho Maklay St, 117198 Moscow, Russian Federation
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DOI: https://doi.org/10.32523/2077-9879-2024-15-2-92-100
Abstract: A detailed exposition of Bernstein’s inequality, inequalities of different metrics and of different dimensions for trigonometic polynomials in Lebesgue spaces is given in the book of S.M. Nikol'skii [4]. In this paper, we state analogues of these inequalities in peridoic Morrey spaces.
Keywords and phrases: Morrey spaces, periodic Morrey spaces, Bernstein's inequality, inequalities of different metrics and of different dimensions.
Funding agency Grant number
Russian Science Foundation 24-11-00170
22-11-00042
The research of Sections 3.1 and 3.3 of the first author V.I. Burenkov was financially supported by the Russian Science Foundation (project no. 24-11-00170, https://rscf.ru/project/24-11-00170/) and the research of Section 3.2 of the first author V.I. Burenkov was financially supported by the Russian Science Foundation (project no. 22-11-00042, https://rscf.ru/project/22-11-00042).
Received: 06.06.2024
Bibliographic databases:
Document Type: Article
MSC: 34A55, 34B05, 58C40
Language: English
Citation: V. I. Burenkov, D. J. Joseph, “Inequalities for trigonometric polynomials in periodic Morrey spaces”, Eurasian Math. J., 15:2 (2024), 92–100
Citation in format AMSBIB
\Bibitem{BurJos24}
\by V.~I.~Burenkov, D.~J.~Joseph
\paper Inequalities for trigonometric polynomials in periodic Morrey spaces
\jour Eurasian Math. J.
\yr 2024
\vol 15
\issue 2
\pages 92--100
\mathnet{http://mi.mathnet.ru/emj504}
\crossref{https://doi.org/10.32523/2077-9879-2024-15-2-92-100}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=001292736400007}
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