Geodesic
The negative parts of the sums of~sine~series with quasimonotonic coefficients
Sbornik. Mathematics, Tome 208 (2017) no. 6, pp. 878-901

Voir la notice de l'article provenant de la source Math-Net.Ru

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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     author = {A. Yu. Popov and A. P. Solodov},
     title = {The negative parts of the sums of~sine~series with quasimonotonic coefficients},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2017_208_6_a6/}
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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/