Some Results on f-Statistical Convergence of Double Sequences

Abstract

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.

Keywords

• Double sequences
• modulus function
• statistical convergence

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