Asymptotically I-Cesaro equivalence of sequences of sets

Authors : Erdinç Dundar, Uğur Ulusu

Pages : 101-105

Doi:10.32323/ujma.409463

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Publication Date : 2018-06-26

Article Type : Research

Abstract :In this paper, we defined concepts of asymptotically $\mathcal{I}$-Cesaro  equivalence  and investigate the relationships between the concepts of asymptotically strongly $\mathcal{I}$-Cesaro equivalence, asymptotically strongly $\mathcal{I}$-lacunary equivalence, asymptotically $p$-strongly $ \mathcal{I}$-Cesaro equivalence and asymptotically $\mathcal{I}$-statistical equivalence of sequences of sets.
Keywords : Asymptotically equivalence, Ces`{a}ro summability, statistical convergence, lacunary sequence, ideal convergence, sequences of sets, Wijsman convergence.