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Ikonion Journal of Mathematics
Article . 2025 . Peer-reviewed
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Bartın Üniversitesi Akademik Arşiv Sistemi
Article . 2025
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Some Results on f-Statistical Convergence of Double Sequences

descriptionPublicationkeyboard_double_arrow_right Article 24 Jul 2025Publisher:Ikonion Journal of MathematicsJournal:Ikonion Journal of Mathematics, volume 7, pages 62-75 (issn: 2687-6531, Copyright policy )
Authors: Ömer Kişi; Mehmet Gürdal;

doi: 10.54286/ikjm.1531097

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.

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Keywords

Modulus Function, Statistical Convergence, Double Sequences

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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