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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 2, Pages 43–61
DOI: https://doi.org/10.26907/0021-3446-2022-2-43-61 (Mi ivm9750) 		 
Inequalities refining relationships between mixed moduli of smoothness in $L_1$- and $L_q$-metrics

M. K. Potapova, B. V. Simonovb

a Moscow State University, 1 Vorobyevy Gory, GSP-1, Moscow, 119991 Russia
b Volgograd State Technical University, 28 Lenin Ave., Volgograd, 400005 Russia
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DOI: https://doi.org/10.26907/0021-3446-2022-2-43-61
Abstract: Some refinements for some relations between mixed moduli of smoothness of fractional orders considered in metrics of $L_1$ and $L_q$ are obtained in the article.
Keywords: inequality, metrics, mixed fractional moduli of smoothness.
Received: 17.05.2021
Revised: 17.05.2021
Accepted: 29.06.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 2, Pages 36–52
DOI: https://doi.org/10.3103/S1066369X22020074
Document Type: Article
UDC: 517.5
Language: Russian
Citation: M. K. Potapov, B. V. Simonov, “Inequalities refining relationships between mixed moduli of smoothness in $L_1$- and $L_q$-metrics”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 2, 43–61; Russian Math. (Iz. VUZ), 66:2 (2022), 36–52
Citation in format AMSBIB
\Bibitem{PotSim22}
\by M.~K.~Potapov, B.~V.~Simonov
\paper Inequalities refining relationships between mixed moduli of smoothness in $L_1$- and $L_q$-metrics
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 2
\pages 43--61
\mathnet{http://mi.mathnet.ru/ivm9750}
\crossref{https://doi.org/10.26907/0021-3446-2022-2-43-61}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 2
\pages 36--52
\crossref{https://doi.org/10.3103/S1066369X22020074}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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