On Rough $\mathcal{I}$-Convergence and $\mathcal{I}$-Cauchy Sequence for Functions Defined on Amenable Semigroups

Year 2023, Volume: 6 Issue: 2, 86 - 90, 01.07.2023

Erdinç Dündar , Uğur Ulusu

https://doi.org/10.32323/ujma.1301259

Cited By: 4

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

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