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

Year 2020, Volume: 3 Issue: 1, 32 - 37, 24.04.2020

Erdinç Dundar Nimet Akın

https://doi.org/10.33187/jmsm.710084

Abstract

In this manuscript, we present the ideas of asymptotically $[{\mathcal{I}_{\sigma\theta}}]$-equivalence, asymptotically ${\mathcal{I}_{\sigma\theta}}(f)$-equivalence, asymptotically $[{\mathcal{I}_{\sigma\theta}}(f)]$-equivalence and asymptotically ${\mathcal{I}(S_{\sigma\theta})}$-equivalence for real sequences. In addition to, investigate some connections among these new ideas and we give some inclusion theorems about them.

Keywords

Asymptotically equivalence, Lacunary invariant equivalence, $\mathcal{I}$-equivalence, Modulus function

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