Geodesic
Rough Statistical Convergence for Difference Sequences
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 5, p. 733
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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) $.
Classification : 40G15 40A35
Keywords: Statistical convergence, difference sequences, rough convergence, statistical limit set 
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     title = {Rough {Statistical} {Convergence} for {Difference} {Sequences}},
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     year = {2022},
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Nihal Demir; Hafize Gumus. Rough Statistical Convergence for Difference Sequences. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 5, p. 733 . http://geodesic.mathdoc.fr/item/KJM_2022_46_5_a5/