Asymptotically ideal invariant equivalence

Abstract

In this study, the concepts of asymptotically I_σ-equivalence, σ-asymptotically equivalence, strongly σ-asymptotically equivalence and strongly σ-asymptotically p-equivalence for real number sequences are defined. Also, we give some relationships among this new type equivalence concepts and the concept of S_σ-asymptotically equivalence which is studied in this area before