- Journal of Mathematical Sciences and Modelling
- Vol: 3 Issue: 1
- $f$-Asymptotically $\mathcal{I}_{\sigma\theta}$-Equivalence of Real Sequences
$f$-Asymptotically $\mathcal{I}_{\sigma\theta}$-Equivalence of Real Sequences
Authors : Erdinç Dundar, Nimet Akin
Pages : 32-37
View : 13 | Download : 2
Publication Date : 2020-04-24
Article Type : Research
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