On the Convergence of Franklin Series to +∞


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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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G. Gevorkyan

Yerevan State University

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Email: ggg@ysu.am
亚美尼亚, Yerevan, 375025

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