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arXiv · 1703.03780

Lacunary arithmetic statistical convergence

Taja Yaying·Bipan Hazarika
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Abstract

A lacunary sequence is an increasing integer sequence $θ=(k_r)$ such that $k_r-k_{r-1}\rightarrow \infty$ as $r\rightarrow \infty.$ In this article we introduce arithmetic statistically convergent sequence space $ASC$ and lacunary arithmetic statistically convergent sequence space $ASC_θ$ and study some inclusion properties between the two spaces. Finally we introduce lacunary arithmetic statistical continuity and establish some interesting results.

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Taja Yaying, Bipan Hazarika. 2017-03-08. Lacunary arithmetic statistical convergence. https://arxiv.org/abs/1703.03780

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