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

نویسندگان

1 Ministry of National Education, Afyonkarahisar‎, ‎Turkiye.

doi
10.30504/jims.2025.540372.1276
چکیده

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.