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Eurasian Mathematical Journal, 2023, Volume 14, Number 4, Pages 15–22
DOI: https://doi.org/10.32523/2077-9879-2023-14-4-15-22 (Mi emj481) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Equivalent semi-norms for Nikol'skii–Besov spaces

V. I. Burenkovab, A. Senoucic

a V.A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, 65 Profsoyuznaya St, 117997 Moscow, Russian Federation
b S.M. Nikol’skii Mathematical Institute, RUDN University, 6 Miklukho Maklay St, 117198 Moscow, Russian Federation
c Department of Mathematics, Laboratory of Informatics and Mathematics, University of Tiaret, Zaaroura 14000, Algeria
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DOI: https://doi.org/10.32523/2077-9879-2023-14-4-15-22
Abstract: The aim of this paper is to establish the equivalence of various semi-norms involving differences for Nikol'skii–Besov spaces on an interval.
Keywords and phrases: equivalent semi-norms, Nikol'skii–Besov spaces.
Funding agency Grant number
Russian Science Foundation 22-11-00042
The research of V.I. Burenkov was financially supported by the Russian Science Foundation (project 22-11-00042).
Received: 06.06.2023
Document Type: Article
MSC: 35J20, 35J25
Language: English
Citation: V. I. Burenkov, A. Senouci, “Equivalent semi-norms for Nikol'skii–Besov spaces”, Eurasian Math. J., 14:4 (2023), 15–22
Citation in format AMSBIB
\Bibitem{BurSen23}
\by V.~I.~Burenkov, A.~Senouci
\paper Equivalent semi-norms for Nikol'skii--Besov spaces
\jour Eurasian Math. J.
\yr 2023
\vol 14
\issue 4
\pages 15--22
\mathnet{http://mi.mathnet.ru/emj481}
\crossref{https://doi.org/10.32523/2077-9879-2023-14-4-15-22}
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