A Generalization on $\mathcal{I}-$Asymptotically Lacunary Statistical Equivalent Sequences

Ekrem Savas

Abstract

This paper presents the concept of generalized asymptotically $\mathcal{I}$-lacunary statistical equivalent of order $\alpha$to multiple $L$and $\mathcal{I}$ is an ideal of the subset of positive integers. In addition tothis definition inclusion theorems are also presented. The study leaves some  interesting open problems