Email this article On the Convergence of Franklin Series to +∞
- Authors: Gevorkyan G.G.1
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Affiliations:
- Yerevan State University
- Issue: Vol 106, No 3-4 (2019)
- Pages: 334-341
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/152024
- DOI: https://doi.org/10.1134/S0001434619090037
- ID: 152024
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Abstract
It is proved that the partial sums of a series in the Franklin system with numbers 2μ, μ ∈ ℕ, cannot approach +∞ on a set of positive measure. In particular, a Franklin series cannot converge to +∞ on a set of positive measure.
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About the authors
G. G. Gevorkyan
Yerevan State University
Author for correspondence.
Email: ggg@ysu.am
Armenia, Yerevan, 375025
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