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arXiv · 1802.04144

Arithmetic summable sequence space over non-Newtonian field

Taja Yaying·Bipan Hazarika
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Abstract

Recently Ruckle \cite{RuckleArithmeticalSummability} introduced the theory of arithmetical summability suggested by the sum $ \sum_{k|m}f(k) $ as $ k $ ranges over the divisors of $m$ including $ 1 $ and $ m .$ Following Ruckle \cite{RuckleArithmeticalSummability} we construct the sequence space $ AS(G) $ and $ AC(G) $ of arithmetic summable and arithmetic convergent sequences in the sense of geometric calculus and derive interesting results in the geometric field.

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Taja Yaying, Bipan Hazarika. 2018-02-09. Arithmetic summable sequence space over non-Newtonian field. https://arxiv.org/abs/1802.04144

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