Communications
Mathematics

On Lebesgue constants of Vilenkin systems

S. A. Sargsyan

Chair of Higher Mathematics, Department of Physics YSU, Armenia

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.

MSC: Primary 42C10; Secondary 42B08

Received: 08.02.2016
Accepted: 15.04.2016

Language: English