$f$-Asymptotically $\mathcal{I}_{\sigma}$-Equivalence of Real Sequences

Year 2020, Volume: 8 Issue: 1, 207 - 210, 15.04.2020

Erdinç Dundar Nimet Akın

Abstract

In this study, we present the notions of strongly asymptotically $\mathcal{I}$-invariant equivalence, $f$-asymptotically $\mathcal{I}$-invariant equivalence, strongly $f$-asymptotically $\mathcal{I}$-invariant equivalence and asymptotically $\mathcal{I}$-invariant statistical equivalence for real sequences. Also, we investigate some relationships among them.

Keywords

Ideal, Asymptotically equivalence, $\mathcal{I}$-equivalence, Invariant equivalence, Modulus function

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