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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2017, Volume 51, Issue 1, Pages 13–17 (Mi uzeru324)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

On a summation method for Vilenkin and generalized Haar systems

G. G. Gevorkyana, K. A. Navasardyanb

a Chair of Mathematical Analysis and Functions Theory YSU, Armenia
b Chair of Numerical Analysis and Mathematical Modeling YSU, Armenia
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Abstract: New summation method for Vilenkin and Haar series is considered. In particular, it is shown that the Fourier series of an integrable function is almost everywhere summable by considered method.
Keywords: Vilenkin system, generalized Haar system, summation method.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 10-3/1-41
This work was supported by State Committee of Science MES RA, in frame of research project SCS RA 10–3/1–41
Received: 18.11.2016
Accepted: 19.12.2016
Document Type: Article
MSC: 42C10
Language: English
Citation: G. G. Gevorkyan, K. A. Navasardyan, “On a summation method for Vilenkin and generalized Haar systems”, Proceedings of the YSU, Physical and Mathematical Sciences, 51:1 (2017), 13–17
Citation in format AMSBIB
\Bibitem{GevNav17}
\by G.~G.~Gevorkyan, K.~A.~Navasardyan
\paper On a summation method for Vilenkin and generalized Haar systems
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2017
\vol 51
\issue 1
\pages 13--17
\mathnet{http://mi.mathnet.ru/uzeru324}
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