S. A. Telyakovskii, “On Properties of the Moduli of Blocks of the Terms of the Series <nobr>$\sum \frac{1}{k} \sin kx$</nobr>”, Izv. Saratov Univ. Math. Mech. Inform., 2013, Volume 13, Issue 1(2),Pages <nobr>92

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Mathematics

On Properties of the Moduli of Blocks of the Terms of the Series $\sum \frac{1}{k} \sin kx$

S. A. Telyakovskii

Steklov Mathematical Institute of the Russian Academy of Sciences

Abstract: 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.

Key words: blocks of the terms a series, power weight.

UDC: 517.518.4

DOI: 10.18500/1816-9791-2013-13-1-2-92-95