Multiset Dizilerinin λ- İstatistiksel Yakınsaklığı

Yıl 2025, Cilt: 7 Sayı: 3, 503 - 511, 31.12.2025

Nihal Demir , Hafize Gumus

https://doi.org/10.47112/neufmbd.2026.110

Öz

Bu çalışmada, multiset dizilerinin istatistiksel yakınsaklık kavramı incelenmiş ve bu konudaki temel tanımlar, özellikler ve teoremler ele alınmıştır. Çalışmada, multiset dizilerinin istatistiksel yakınsaklığı tanımlanmış, klasik küme dizileri ile benzerlikleri ve farklılıkları ortaya konulmuştur. Ayrıca, kuvvetli Cesàro toplanabilirlik ve diğer yakınsaklık türleri incelenmiş, bu kavramların multiset dizilerine uygulanabilirliği gösterilmiştir. Elde edilen sonuçlar, multiset dizilerinin daha genel bir perspektifle ele alınmasına katkı sağlamaktadır. Bu çalışmada, multiset dizilerinin λ-istatistiksel yakınsaklığı bir λ=(λ_n) dizisi kullanılarak elde edilecek ve önemli bazı sonuçlar ortaya konacaktır.

Anahtar Kelimeler

İstatistiksel yakınsaklık , Multiset dizileri , Multiset kümeleri

λ-Statistical Convergence of Multiset Sequences

Öz

In this study, the idea of statistical convergence within multiset sequences has been examined, and the fundamental definitions, properties, and theorems in this context have been addressed. In the study, the statistical convergence of multiset sequences is introduced, and the similarities and differences with classical set sequences are revealed. Furthermore, strong Cesàro summability and other types of convergence are examined, and the applicability of these concepts to multiset sequences is demonstrated. The results obtained contribute to the consideration of multiset sequences from a more general perspective. In this study, the λ-statistical convergence of multiset sequences will be obtained using a λ=(λ_n) sequence and some important results will be presented.

Anahtar Kelimeler

Statistical convergence , Multiset sequences , Multisets

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