Kuaterniyon Değerli g-Metrik Uzayda Yakınsaklık Üzerine

Year 2024, Volume: 14 Issue: 3, 106 - 114, 25.11.2024

Saime Kolancı , Mehmet Gürdal , Ömer Kişi

Abstract

Bu makalede, kuaterniyon değerli g-metrik uzayda çift dizilerin yakınsama kavramı tanıtılıp incelenmekte, bazı temel özellikler de ele alınmaktadır. Ayrıca, bu bağlamda istatistiksel yakınsama ayrıntılı olarak incelenip tanımlanmaktadır. Son bölümde ise, kuaterniyon değerli g-metrik uzayların istatistiksel yakınsaması ile güçlü toplanabilirlik arasındaki ilişkiye odaklanılmakta ve bu bağlantının sonuçları tartışılmaktadır.

Keywords

Genelleştirilmiş metrik uzaylar, kuaterniyon uzayı, istatistiksel yakınsaklık, güçlü toplanabilirlik

Project Number

This study was supported by Süleyman Demirel University Scientific Research Projects Coordination Unit. Project Number: FYL-2024-9258.

On Convergence in Quaternion-Valued g-Metric Space

Abstract

This study presents and investigates the notion of convergence for double sequences in the quaternion-valued g-metric space, as well as a review of certain fundamental features. Moreover, statistical convergence in this context is examined and defined in detail. The final section, focusing on the relationship between the statistical convergence of quaternion-valued g-metric spaces and strong summability, delves into this connection and discusses its implications.

Keywords

Generalized metric spaces, quaternion space, statistical convergence, strong summability

Project Number

This study was supported by Süleyman Demirel University Scientific Research Projects Coordination Unit. Project Number: FYL-2024-9258.

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