Geodesic
On Properties of the Moduli of Blocks of the Terms of the Series $\sum \frac{1}{k} \sin kx$
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 92-95.

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A necessary and sufficient condition is obtained ensuring the integrability with the power weight of the sum of the moduli of blocks of the terms of series under investigation. 
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S. A. Telyakovskii. On Properties of the Moduli of Blocks of the Terms of the Series $\sum \frac{1}{k} \sin kx$. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 92-95. http://geodesic.mathdoc.fr/item/ISU_2013_13_1_a22/

[1] Telyakovskii S. A., “On properties of blocks of the series $\sum \frac{1}{k} \sin kx$”, Ukrainian Math. J., 64 (2012), 713–718 | DOI | Zbl

[2] Trigub R. M., “A note on the paper of Telyakovskii «Certain properties of Fourier series of functions with bounded variation»”, East J. on Approx., 13:1 (2007), 1–6 | MR