Asymptotically Lacunary I-Invariant Statistical Equivalence of Sequences of Sets Defined By A Modulus Function

Abstract

In this paper, we introduce the concepts of strongly asymptotically lacunary I-invariant equivalence, f-asymptotically lacunary I-invariant equivalence, strongly f-asymptotically lacunary I-invariant equivalence and asymptotically lacunary I-invariant statistical equivalence for sequences of sets. Also, we investigate some relationships among these concepts.