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Matematicheskie Zametki, 2005, Volume 77, Issue 1, Pages 99–116
DOI: https://doi.org/10.4213/mzm2473 (Mi mzm2473) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Transformation of Fourier series using power and weakly oscillating sequences

M. K. Potapova, B. V. Simonovb, S. Yu. Tikhonova

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Volgograd State Technical University
Full-text PDF (264 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm2473
Abstract: In the present paper, we consider transformations of the Fourier series of functions of several variables by means of the products of power and weakly oscillating sequences. Estimates of the mixed moduli of smoothness of the transformed Fourier series are obtained via the mixed moduli of smoothness of the functions under consideration.
Received: 14.07.2003
English version:
Mathematical Notes, 2005, Volume 77, Issue 1, Pages 90–107
DOI: https://doi.org/10.1007/s11006-005-0009-z
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: M. K. Potapov, B. V. Simonov, S. Yu. Tikhonov, “Transformation of Fourier series using power and weakly oscillating sequences”, Mat. Zametki, 77:1 (2005), 99–116; Math. Notes, 77:1 (2005), 90–107
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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