Asymptotically I-Cesaro equivalence of sequences of sets

Year 2018, , 101 - 105, 26.06.2018

Erdinç Dundar , Uğur Ulusu

https://doi.org/10.32323/ujma.409463

Cited By: 6

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.

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