Geodesic
On the series of absolute values of blocks of trigonometric series
Informatics and Automation, Function spaces and related problems of analysis, Tome 284 (2014), pp. 243-251

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

Conditions of integrability with a power weight are obtained for the sums of series of absolute values of blocks of sine series and cosine series under certain special conditions imposed on the coefficients of these series. 
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     author = {S. A. Telyakovskii},
     title = {On the series of absolute values of blocks of trigonometric series},
     journal = {Informatics and Automation},
     pages = {243--251},
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     volume = {284},
     year = {2014},
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     url = {http://geodesic.mathdoc.fr/item/TRSPY_2014_284_a16/}
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S. A. Telyakovskii. On the series of absolute values of blocks of trigonometric series. Informatics and Automation, Function spaces and related problems of analysis, Tome 284 (2014), pp. 243-251. http://geodesic.mathdoc.fr/item/TRSPY_2014_284_a16/