Abstract:
In the present article, we set forth with the new notion of quasi statistically rough convergence in the gradual normed linear spaces. We establish significant results that present several fundamental properties of this new notion. We also introduce the notion of $st_{q}^{r}(\mathcal{G})$-limit set and prove that it is gradually closed, convex, and plays an important role for the quasi statistically boundedness of a sequence in a gradual normed linear space.
Keywords:gradual number,
gradual normed linear space,
quasi density,
$st_{q}^{r}(\mathcal{G})$-convergence,
$st_{q}^{r}(\mathcal{G})$-limit set
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