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Contemporary Mathematics and Its Applications, 2015, Volume 96, Pages 132–142 (Mi cma30)  
Estimates of quasi-norms for a certain class of double sine series

B. V. Simonov, I. E. Simonova

Volgograd State Technical University
Full-text PDF (191 kB)
Abstract: It this paper, we examine the sums of double sine series with coefficients that are multiply monotonic with respect to subsequences. We obtain sufficient conditions under which these sums belong to the classes $L_p$, $0<p<\infty$.
Document Type: Article
UDC: 517.5
Language: Russian
Citation: B. V. Simonov, I. E. Simonova, “Estimates of quasi-norms for a certain class of double sine series”, Contemporary Mathematics and Its Applications, 96 (2015), 132–142
Citation in format AMSBIB
\Bibitem{SimSim15}
\by B.~V.~Simonov, I.~E.~Simonova
\paper Estimates of quasi-norms for a certain class of double sine series
\jour Contemporary Mathematics and Its Applications
\yr 2015
\vol 96
\pages 132--142
\mathnet{http://mi.mathnet.ru/cma30}
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