Lacunary arithmetic statistical convergence

2017/03/08 by Yaying, Taja, Hazarika, Bipan
#40A05 #40A99 #46A70 #46A99 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.1703.03780

Abstract

A lacunary sequence is an increasing integer sequence θ=(k_r) such that k_r-k_r-1→ ∞ as r→ ∞. 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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