Asymptotically I_2-Cesàro equivalence of double sequences of sets

Abstract

In this paper, we defined the concepts of asymptotically I_2-Cesàro equivalence and investigate the relationships between the concepts of asymptotically strongly I_2-Cesàro equivalence, asymptotically strongly I_2-lacunary equivalence, asymptotically p-strongly I_2-Cesàro equivalence and asymptotically I_2-statistical equivalence of double sequences of sets.