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

Abstract

The notion of the alpha th order Delta(m)(i) - lacunary statistical convergence and alpha th order lacunary strongly (Delta(m)(i), p) - summable sequences was introduced by Altmok 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.