Geodesic
On Lebesgue constants of Vilenkin systems
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2016), pp. 63-66

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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, almost convergence.
Mots-clés : Lebesgue constants 
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S. A. Sargsyan. On Lebesgue constants of Vilenkin systems. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2016), pp. 63-66. http://geodesic.mathdoc.fr/item/UZERU_2016_2_a10/