Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 1, Pages 10–18 (Mi vmumm648)  
This article is cited in 4 scientific papers (total in 4 papers)

Mathematics

On the Fourier coefficients of functions from multidimensional bounded $\Lambda$-variation classes

A. N. Bakhvalov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (381 kB) Citations (4)
Abstract: Estimates of trigonometric Fourier coefficients are obtained for functions from classes of bounded many-dimensional $\Lambda$-variation and functions continuous in $\Lambda$-variation. In some cases it is proved that these estimates are unimprovable by the order.
Key words: generalized variation, continuity in variation, Fourier coefficients.
Funding agency Grant number
Russian Foundation for Basic Research 09-01-00175
Ministry of Education and Science of the Russian Federation НШ-3252.2010.1
Received: 27.11.2009
English version:
Moscow University Mathematics Bulletin, 2011, Volume 66, Issue 1, Pages 8–16
DOI: https://doi.org/10.3103/S0027132211010025
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: A. N. Bakhvalov, “On the Fourier coefficients of functions from multidimensional bounded $\Lambda$-variation classes”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 1, 10–18; Moscow University Mathematics Bulletin, 66:1 (2011), 8–16
Citation in format AMSBIB
\Bibitem{Bak11}
\by A.~N.~Bakhvalov
\paper On the Fourier coefficients of functions from multidimensional bounded $\Lambda$-variation classes
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2011
\issue 1
\pages 10--18
\mathnet{http://mi.mathnet.ru/vmumm648}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2848763}
\zmath{https://zbmath.org/?q=an:1304.42020}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2011
\vol 66
\issue 1
\pages 8--16
\crossref{https://doi.org/10.3103/S0027132211010025}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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