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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2016, Issue 2, Pages 63–66 (Mi uzeru161)  
Communications
Mathematics

On Lebesgue constants of Vilenkin systems

S. A. Sargsyan

Chair of Higher Mathematics, Department of Physics YSU, Armenia
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Abstract: In the paper some properties of Lebesgue constants $\left\{L_n(W)\right\}^{\infty}_{n=1}$ of Vilenkin system are investigated. Non almost convergence property for the sequence $\left\{\dfrac{L_n(W)}{\log_2n}\right\}^{\infty}_{n=2}$ is obtained.
Keywords: Vilenkin system, Lebesgue constants, almost convergence.
Received: 08.02.2016
Accepted: 15.04.2016
Document Type: Article
MSC: Primary 42C10; Secondary 42B08
Language: English
Citation: S. A. Sargsyan, “On Lebesgue constants of Vilenkin systems”, Proceedings of the YSU, Physical and Mathematical Sciences, 2016, no. 2, 63–66
Citation in format AMSBIB
\Bibitem{Sar16}
\by S.~A.~Sargsyan
\paper On Lebesgue constants of Vilenkin systems
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2016
\issue 2
\pages 63--66
\mathnet{http://mi.mathnet.ru/uzeru161}
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