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 : 36 | Download : 46

Publication Date : 2023-07-01

Article Type : Research Paper

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