ON LEBESGUE CONSTANTS OF VILENKIN SYSTEMS
DOI:
https://doi.org/10.46991/PSYU:A/2016.50.2.063Keywords:
Vilenkin system, Lebesgue constants, almost convergenceAbstract
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
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