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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 3, Pages 617–631
DOI: https://doi.org/10.17377/smzh.2016.57.309 (Mi smj2767) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Sidon-type inequalities and strong approximation by Fourier sums in multiplicative systems

S. S. Volosivets, T. V. Likhacheva

Saratov State University, Saratov, Russia
Full-text PDF (476 kB) Citations (4)
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DOI: https://doi.org/10.17377/smzh.2016.57.309
Abstract: Considering the character systems of Vilenkin groups, we obtain some Sidon-type inequalities that generalize the results by Móricz and Avdispahić–Pepić. We apply the inequalities to the theory of strong approximation of functions by series in character systems. Our results are analogs of the trigonometric results by Totik, Leindler, Németh, and Siddiqi.
Keywords: character system, Sidon-type inequality, strong approximation, Hölder class.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.1520.2014/K
The authors were supported by Grant 1.1520.2014/K of the Government Task of the Ministry of Science and Education.
Received: 30.05.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 3, Pages 486–497
DOI: https://doi.org/10.1134/S0037446616030095
Bibliographic databases:
Document Type: Article
UDC: 517.518.366
Language: Russian
Citation: S. S. Volosivets, T. V. Likhacheva, “Sidon-type inequalities and strong approximation by Fourier sums in multiplicative systems”, Sibirsk. Mat. Zh., 57:3 (2016), 617–631; Siberian Math. J., 57:3 (2016), 486–497
Citation in format AMSBIB
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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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    		Сибирский математический журнал Siberian Mathematical Journal
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