Asymptotically strong I_2-deferred Cesàro equivalence for sequences of sets

Abstract

In this paper, for double set sequences, we introduce and study the concept of asymptotically Wijsman r-strong I_2-deferred Cesàro equivalence (0 < r < \infty), which is a natural combination of the asymptotical equivalence, deferred Cesàro mean and strong ideal-Cesàro summability. Besides, we investigate the relations between this concept and the previously given asymptotically Wijsman I_2-deferred statistical equivalence concepts for double set sequences. Furthermore, we prove some basic theorems associated with the concept of asymptotically Wijsman r-strong I_2-deferred Cesàro equivalence.