On $\mathcal{I}^{st}$- convergence in the space of reals

Abstract

In this paper, we study the notion of $\mathcal{I}$$^{st}$-convergence of sequences of real numbers which is an extension work of $\mathcal{I}$$^*$-convergence on real sequences. We also define the convergence field of $\mathcal{I}$$^{st}$-convergence and $\mathcal{I}$$^{st}$-limit points and we discuss some properties related to these notions.