Strong Ideal convergence in topological spaces
DOI:
https://doi.org/10.5644/SJM.21.01.10Keywords:
Topological Space, Statistical Convergence, Ideal Convergence, Strong ConvergenceAbstract
We define two convergence techniques in this study: statistical $A_{\mathcal{T}} $-strong convergence and $ A^{\mathcal{I}}_{\mathcal{T}} $-strong convergence, both of which are generalizations of $A_{\mathcal{T}} $-strong convergence in Hausdorff topological spaces via a certain class of special functions. Similar to the classic scenario, we find some correlations between $ A^{\mathcal{I}} $-statistical convergence and $ A^{\mathcal{I}}_{\mathcal{T}} $-strong convergence. Additionally, we obtain a characterization of $ A^{\mathcal{I}} $-statistical convergence.
Statistics
Abstract: 187 / PDF: 55
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