ON LEBESGUE CONSTANTS OF VILENKIN SYSTEMS

S.A. Sargsyan

doi:10.46991/PSYU:A/2016.50.2.063

ON LEBESGUE CONSTANTS OF VILENKIN SYSTEMS

Authors

S.A. Sargsyan Chair of Higher Mathematics of Radiophysics Faculty, YSU, Armenia

DOI:

https://doi.org/10.46991/PSYU:A/2016.50.2.063

Keywords:

Vilenkin system, Lebesgue constants, almost convergence

Abstract

In the paper some properties of Lebesgue constants $\big\{L_n(W)\big\}_{n=1}^{\infty}$ of Vilenkin system are investigated. Non almost convergence property for the sequence $\left\{\dfrac{L_n(W)}{\log_2 n}\right\}_{n=2}^{\infty}$ is obtained.

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Published

2016-06-06

How to Cite

Sargsyan, S. (2016). ON LEBESGUE CONSTANTS OF VILENKIN SYSTEMS. Proceedings of the YSU A: Physical and Mathematical Sciences, 50(2 (240), 63–66. https://doi.org/10.46991/PSYU:A/2016.50.2.063