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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 10, Pages 24–42 (Mi ivm8835)  
This article is cited in 4 scientific papers (total in 4 papers)

Sine and cosine series in $L_\varphi$ classes

B. V. Simonov

Chair of Applied Mathematics, Volgograd State Technical University, 28 Lenin Ave., Volgograd, 400005 Russia
Full-text PDF (275 kB) Citations (4)
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Abstract: We study sine and cosine series with monotone with respect to subsequences coefficients. We establish conditions under which their sums belong to classes $L_\varphi$.
Keywords: monotonicity, series, subsequence, coefficients.
Received: 27.06.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 10, Pages 19–36
DOI: https://doi.org/10.3103/S1066369X13100034
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: B. V. Simonov, “Sine and cosine series in $L_\varphi$ classes”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 10, 24–42; Russian Math. (Iz. VUZ), 57:10 (2013), 19–36
Citation in format AMSBIB
\Bibitem{Sim13}
\by B.~V.~Simonov
\paper Sine and cosine series in $L_\varphi$ classes
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 10
\pages 24--42
\mathnet{http://mi.mathnet.ru/ivm8835}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 10
\pages 19--36
\crossref{https://doi.org/10.3103/S1066369X13100034}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84885649814}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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