- Universal Journal of Mathematics and Applications
- Vol: 6 Issue: 2
- On Rough $\\mathcal{I}$-Convergence and $\\mathcal{I}$-Cauchy Sequence for Functions Defined on Amen...
On Rough $\\mathcal{I}$-Convergence and $\\mathcal{I}$-Cauchy Sequence for Functions Defined on Amenable Semigroups
Authors : Erdinç Dündar, Uğur Ulusu
Pages : 86-90
Doi:10.32323/ujma.1301259
View : 33 | Download : 39
Publication Date : 2023-07-01
Article Type : Research Article
Abstract :In this paper, firstly we introduced the concepts of rough $\\mathcal{I}$-convergence, rough $\\mathcal{I}^*$-convergence, rough $\\mathcal{I}$-Cauchy sequence, and rough $\\mathcal{I}^*$-Cauchy sequence of a function defined on discrete countable amenable semigroups. Then, we investigated the relations between them.Keywords : Amenable semigroups, Folner sequence, Ideal Cauchy sequence, Ideal convergence, Rough convergence