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arXiv · 2609.17041

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

Amar Kumar Banerjee·Khairul Hasan
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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.

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Amar Kumar Banerjee, Khairul Hasan. 2026-09-15. On $\mathcal{I}^{st}$- convergence in the space of reals. https://arxiv.org/abs/2609.17041

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