Journal of the Iranian Mathematical Society

Journal of the Iranian Mathematical Society

On deferred statistical convergence in $\mathscr{A}$‎- ‎metric spaces

Document Type : Research Article

Author
Ministry of National Education, Afyonkarahisar‎, ‎Turkiye.
Abstract
In this study, we introduce the notions of deferred statistical convergence and deferred strong Cesàro summability in $\mathscr{A}$-metric spaces, which represent some of the most prominent examples of generalized metric spaces that have been extensively investigated in recent developments in functional analysis and summability theory. Then, we conduct a detailed investigation into the relationships among statistical convergence, deferred statistical convergence, and deferred strong Cesàro summability in the context of $\mathscr{A}$-metric spaces. Additionally, we present several inclusion relations among these concepts within the context of $\mathscr{A}$-metric spaces.
Keywords
Subjects

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