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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 269, Pages 204–214 (Mi tm2897)  
This article is cited in 17 scientific papers (total in 17 papers)

Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes

M. K. Potapova, B. V. Simonovb, S. Yu. Tikhonovacd

a Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia
b Volgograd State Technical University, Volgograd, Russia
c Centre de Recerca Matemàtica, Barcelona, Spain
d Institució Catalana de Recerca i Estudis Avancats, Barcelona, Spain
Full-text PDF (199 kB) Citations (17)
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Abstract: We prove $(L_p,L_q)$ inequalities for mixed moduli of smoothness of positive orders. As corollaries, we obtain embedding theorems for the Nikol'skii classes.
Received in September 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 269, Pages 197–207
DOI: https://doi.org/10.1134/S0081543810020173
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: M. K. Potapov, B. V. Simonov, S. Yu. Tikhonov, “Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes”, Function theory and differential equations, Collected papers. Dedicated to Academician Sergei Mikhailovich Nikol'skii on the occasion of his 105th birthday, Trudy Mat. Inst. Steklova, 269, MAIK Nauka/Interperiodica, Moscow, 2010, 204–214; Proc. Steklov Inst. Math., 269 (2010), 197–207
Citation in format AMSBIB
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\paper Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes
\inbook Function theory and differential equations
\bookinfo Collected papers. Dedicated to Academician Sergei Mikhailovich Nikol'skii on the occasion of his 105th birthday
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\pages 204--214
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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