Some Results on f-Statistical Convergence of Double Sequences

Abstract

This study focuses on the development and examination of new definitions related to statistical convergence, modulus functions, and f<inf>?</inf>-density within 2-normed spaces. We investigate various relationships between statistical (f<inf>?</inf>-convergence, f<inf>?</inf>-statistical convergence, f<inf>?</inf>-statistically Cauchy sequences, f<inf>?</inf>-statistically bounded double sequences, and strongly f<inf>?s</inf> convergent double sequences in 2-normed spaces. Furthermore, we analyze certain topological properties connected to these concepts. © 2025 Elsevier B.V., All rights reserved.