- Universal Journal of Mathematics and Applications
- Volume:1 Issue:2
- Asymptotically I-Cesaro equivalence of sequences of sets
Asymptotically I-Cesaro equivalence of sequences of sets
Authors : Erdinç DUNDAR, Uğur ULUSU
Pages : 101-105
Doi:10.32323/ujma.409463
View : 18 | Download : 7
Publication Date : 2018-06-26
Article Type : Research Paper
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