Geodesic
The negative parts of the sums of sine series with quasimonotonic coefficients
Sbornik. Mathematics, Tome 208 (2017) no. 6, pp. 878-901 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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A. Yu. Popov; A. P. Solodov. The negative parts of the sums of sine series with quasimonotonic coefficients. Sbornik. Mathematics, Tome 208 (2017) no. 6, pp. 878-901. http://geodesic.mathdoc.fr/item/SM_2017_208_6_a6/

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