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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 2, Pages 241–258 (Mi smj854)  
This article is cited in 8 scientific papers (total in 8 papers)

Convergence of fourier series with respect to multiplicative systems and the $p$-fluctuation continuity modulus

S. S. Volosivets

Saratov State University named after N. G. Chernyshevsky
Full-text PDF (275 kB) Citations (8)
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Abstract: We obtain some sufficient conditions for convergence of series of the Fourier coefficients with respect to multiplicative systems for functions of bounded $p$-fluctuation. In some cases we establish the unimprovability of these conditions.
Keywords: functions of bounded $p$-fluctuation, multiplicative system, absolute convergence, Efimov type inequality.
Received: 24.12.2004
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 2, Pages 193–208
DOI: https://doi.org/10.1007/s11202-006-0035-4
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: S. S. Volosivets, “Convergence of fourier series with respect to multiplicative systems and the $p$-fluctuation continuity modulus”, Sibirsk. Mat. Zh., 47:2 (2006), 241–258; Siberian Math. J., 47:2 (2006), 193–208
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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