On asymptotically ideal equivalent sequences

Document Type : Original Article

Author

Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh 791112, Arunachal Pradesh, India

Abstract

In this article we introduce the notion of asymptotically I-equivalent sequences. We
prove the decomposition theorem for asymptotically I-equivalent sequences. Further, we will present four theorems that characterize asymptotically I-equivalent of multiple k and the regularity of
asymptotically I-convergence by using a sequence of infinite matrices.

Keywords