Lacunary Statistical Convergence of Order alpha and Lacunary Strongly Summable Sequences of Order alpha of Generalized Difference Sequences

Abstract

The notion of the α th order Δim - lacunary statistical convergence and α th order lacunary strongly (Δim, p)-summable sequences was introduced by Altınok et al. [1]. They also gave significant inclusion correlation associated with the aforementioned sequence spces. In this paper, our aim is to exploit some other important relations between the given notions.