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

Authors : Erdinç DUNDAR, Nimet AKIN

Pages : 32-37

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Publication Date : 2020-04-24

Article Type : Research Paper

Abstract :In this manuscript, we present the ideas of asymptotically $[{\mathcal{I}_{\sigma\theta}}]$-equivalence, asymptotically ${\mathcal{I}_{\sigma\theta}}insert ignore into journalissuearticles values(f);$-equivalence, asymptotically $[{\mathcal{I}_{\sigma\theta}}insert ignore into journalissuearticles values(f);]$-equivalence and asymptotically ${\mathcal{I}insert ignore into journalissuearticles values(S_{\sigma\theta});}$-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