Asymptotically I-Cesàro equivalence of sequences of sets

Abstract

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