Rough Statistical Convergence for Difference Sequences

Nihal Demir, Hafize Gumus

As known, difference sequences have their own characteristics. In this paper, we study the concept of rough statistical convergence for difference sequences in a finite dimensional normed space. At the same time, we examine some properties of the set $st-\lim_{\Delta x_{i}}^{r}=\left\{ x_{\ast}\in X:\Delta x_{i}\overset{r}{\rightarrow}x_{\ast}\right\} $, which is called as $r$-statistical limit set of the difference sequence $\left( \Delta x_{i}\right) $.