On the Convergence of Franklin Series to +∞
- Autores: Gevorkyan G.G.1
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Afiliações:
- Yerevan State University
- Edição: Volume 106, Nº 3-4 (2019)
- Páginas: 334-341
- Seção: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/152024
- DOI: https://doi.org/10.1134/S0001434619090037
- ID: 152024
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Resumo
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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Sobre autores
G. Gevorkyan
Yerevan State University
Autor responsável pela correspondência
Email: ggg@ysu.am
Armênia, Yerevan, 375025
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