Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2009, Number 3, Pages 17–25 (Mi vmumm872)  
This article is cited in 9 scientific papers (total in 9 papers)

Mathematics

Relations between moduli of smoothness in different metrics

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

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Volgograd State Technical University
c Moscow State University Center for International Education
Full-text PDF (252 kB) Citations (9)
Abstract: Two inequalities are proved in the paper. These inequalities extend and refine the well-known P. L. Yl'yanov's inequality concerning relations between moduli of continuity in various metrics.
Key words: modulus of smoothness, space metric, periodic function, accuracy of an inequality.
Funding agency Grant number
Russian Foundation for Basic Research 08-01-000302
Ministry of Education and Science of the Russian Federation НШ-27-87-2008.1
Ministerio de Ciencia e Innovación de España 2008-05561-С02-02
Received: 21.11.2008
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: M. K. Potapov, B. V. Simonov, S. Yu. Tikhonov, “Relations between moduli of smoothness in different metrics”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 3, 17–25
Citation in format AMSBIB
\Bibitem{PotSimTik09}
\by M.~K.~Potapov, B.~V.~Simonov, S.~Yu.~Tikhonov
\paper Relations between moduli of smoothness in different metrics
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2009
\issue 3
\pages 17--25
\mathnet{http://mi.mathnet.ru/vmumm872}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2664494}
\zmath{https://zbmath.org/?q=an:1304.41010}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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