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This article is cited in 1 scientific paper (total 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.
Received in May 2013
Citation:
S. A. Telyakovskii, “On the series of absolute values of blocks of trigonometric series”, Function spaces and related problems of analysis, Collected papers. Dedicated to Oleg Vladimirovich Besov, corresponding member of the Russian Academy of Sciences, on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 284, MAIK Nauka/Interperiodica, Moscow, 2014, 243–251; Proc. Steklov Inst. Math., 284 (2014), 235–243
Linking options:
https://www.mathnet.ru/eng/tm3526https://doi.org/10.1134/S0371968514010178 https://www.mathnet.ru/eng/tm/v284/p243
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Abstract page: | 343 | Full-text PDF : | 81 | References: | 75 |
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