Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2013, Number 4, Pages 8–14 (Mi vmumm415)  
Mathematics

Weakened continuity in $\Lambda$-variation and localization of double Cesáro means

A. N. Bakhvalov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: We study the localization of Cesáro means of negative order with respect to cross neighborhoods for a double Fourier series. We prove a sufficient condition in terms of $\Lambda$-variation of the function which is weaker than the sufficient condition for classic localization obtained recently.
Key words: generalized variation, Cesáro means.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00169
Ministry of Education and Science of the Russian Federation НШ-979.2012.1
Received: 12.03.2012
English version:
Moscow University Mathematics Bulletin, 2013, Volume 68, Issue 4, Pages 182–187
DOI: https://doi.org/10.3103/S0027132213040025
Bibliographic databases:
Document Type: Article
UDC: 517.518.476
Language: Russian
Citation: A. N. Bakhvalov, “Weakened continuity in $\Lambda$-variation and localization of double Cesáro means”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 4, 8–14; Moscow University Mathematics Bulletin, 68:4 (2013), 182–187
Citation in format AMSBIB
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\by A.~N.~Bakhvalov
\paper Weakened continuity in $\Lambda$-variation and localization of double Ces\'aro means
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2013
\issue 4
\pages 8--14
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2013
\vol 68
\issue 4
\pages 182--187
\crossref{https://doi.org/10.3103/S0027132213040025}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84883650845}
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