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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2014 Volume 284, Pages 243–251 (Mi tm3526)
This article is cited in 1 paper

On the series of absolute values of blocks of trigonometric series

S. A. Telyakovskii

Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia

Abstract: 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.

UDC: 517.518.4

Received in May 2013

DOI: 10.1134/S0371968514010178


 English version: Proceedings of the Steklov Institute of Mathematics, 2014, 284, 235–243

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© Steklov Math. Inst. of RAS, 2025