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Matematicheskie Zametki, 2019, Volume 106, Issue 3, Pages 341–349
DOI: https://doi.org/10.4213/mzm12133 (Mi mzm12133) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the Convergence of Franklin Series to $+\infty$

G. G. Gevorkyan

Yerevan State University
Full-text PDF (473 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm12133
Abstract: It is proved that the partial sums of a series in the Franklin system with numbers $2^{\mu}$, $\mu\in \mathbb{N}$, cannot approach $+\infty$ on a set of positive measure. In particular, a Franklin series cannot converge to $+\infty$ on a set of positive measure.
Keywords: Franklin system, Franklin series, convergence to $+\infty$.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 18T-1A074
Received: 25.10.2018
Revised: 17.02.2019
English version:
Mathematical Notes, 2019, Volume 106, Issue 3, Pages 334–341
DOI: https://doi.org/10.1134/S0001434619090037
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: G. G. Gevorkyan, “On the Convergence of Franklin Series to $+\infty$”, Mat. Zametki, 106:3 (2019), 341–349; Math. Notes, 106:3 (2019), 334–341
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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