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Sbornik: Mathematics, 2017, Volume 208, Issue 6, Pages 878–901
DOI: https://doi.org/10.1070/SM8764 (Mi sm8764) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The negative parts of the sums of sine series with quasimonotonic coefficients

A. Yu. Popov, A. P. Solodov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (515 kB) Citations (3)
References:
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DOI: https://doi.org/10.1070/SM8764
Abstract: It has long been known that the sum of a sine series with positive coefficients tending to zero monotonically is positive in some right half-neighbourhood of zero. The paper investigates whether the sums of series with quasimonotonic coefficients retain this property (or a weaker version of it).
Bibliography: 6 titles.
Keywords: sine series with quasimonotonic coefficients.
Received: 23.06.2016 and 09.03.2017
Russian version:
Matematicheskii Sbornik, 2017, Volume 208, Number 6, Pages 146–169
DOI: https://doi.org/10.4213/sm8764
Bibliographic databases:
Document Type: Article
UDC: 517.518.4
MSC: 42A32
Language: English
Original paper language: Russian
Citation: A. Yu. Popov, A. P. Solodov, “The negative parts of the sums of sine series with quasimonotonic coefficients”, Mat. Sb., 208:6 (2017), 146–169; Sb. Math., 208:6 (2017), 878–901
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v208/i6/p146
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Abstract page:543
    Russian version PDF:48
    English version PDF:10
    References:67
    First page:72
     
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