Rough Statistical Convergent Functions Defined on Amenable Semigroups

In the presented paper, we present the concept of rough statistical convergence and the set of rough statistical limit points ( \(st-\text {LIM}^r h\) $st-{\text{LIM}}^{r}h$ ) for functions defined on discrete countable amenable semigroups (DCASG) with some properties such as boundedness, closedness and convexity. Then, for functions defined on DCASG, the relationships between \(st-\text {LIM}^r h\) $st-{\text{LIM}}^{r}h$ and statistical cluster points are discussed