Some Results on f-Statistical Convergence of Double Sequences

This study focuses on developing and examining new definitions related to statistical convergence, modulus functions, and σ-density in 2-normed spaces. We explore various relationships between statistical f_σ-convergence, f_σ-statistical convergence, f_σ-statistically Cauchy sequences, f_σ-statistically bounded double sequences, and strongly f_(σ_s )-convergent double sequences in 2 normed spaces. Additionally, we analyze some topological properties associated with these concepts.