Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 1, Pages 6–17 (Mi vmumm290)  
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Properties of mixed moduli of smoothness of functions with lacunary Fourier coefficients

M. K. Potapova, B. V. Simonovb

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Volgograd State Technical University
Full-text PDF (305 kB) Citations (2)
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Abstract: Certain properties of the mixed moduli of smoothness of functions with lacunary Fourier coefficients are refined in the case of Lebesgue space with a mixed norm.
Key words: mixed modulus of smoothness, lacunary Fourier coefficients, mixed norm.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00043
Ministry of Education and Science of the Russian Federation НШ-3682.2014.1
Received: 05.03.2012
English version:
Moscow University Mathematics Bulletin, 2014, Volume 69, Issue 1, Pages 5–15
DOI: https://doi.org/10.3103/S0027132214010021
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: M. K. Potapov, B. V. Simonov, “Properties of mixed moduli of smoothness of functions with lacunary Fourier coefficients”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 1, 6–17; Moscow University Mathematics Bulletin, 69:1 (2014), 5–15
Citation in format AMSBIB
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\by M.~K.~Potapov, B.~V.~Simonov
\paper Properties of mixed moduli of smoothness of functions with lacunary Fourier coefficients
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2014
\issue 1
\pages 6--17
\mathnet{http://mi.mathnet.ru/vmumm290}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3267219}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2014
\vol 69
\issue 1
\pages 5--15
\crossref{https://doi.org/10.3103/S0027132214010021}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84896324458}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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