Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 1, Pages 8–15 (Mi vmumm201)  
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

Connection between moduli of smoothness in the metrics of $L_p$ and $C$

M. K. Potapova, B. V. Simonovb

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Volgograd State Technical University
Full-text PDF (341 kB) Citations (3)
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Abstract: Two inequalities are proved for fractional moduli of smoothness of a function considered in the spaces $L_p$ and $C.$
Key words: inequalitiy, space, fractional modulus of smoothness.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-0043
Ministry of Education and Science of the Russian Federation НШ-3682.2014.1
Received: 04.02.2013
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 1, Pages 6–13
DOI: https://doi.org/10.3103/S0027132215010027
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: M. K. Potapov, B. V. Simonov, “Connection between moduli of smoothness in the metrics of $L_p$ and $C$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 1, 8–15; Moscow University Mathematics Bulletin, 70:1 (2015), 6–13
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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