GENERALIZED IDEAL STATISTICAL CONVERGENCE OF ORDER θ WITH RESPECT TO SEMINORM q

SAVAŞ, EKREM

doi:10.1007/s10958-025-08180-7

GENERALIZED IDEAL STATISTICAL CONVERGENCE OF ORDER θ WITH RESPECT TO SEMINORM q

SAVAŞ E.

Journal of Mathematical Sciences (United States), 2026 (Scopus)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2026
Doi Numarası: 10.1007/s10958-025-08180-7
Dergi Adı: Journal of Mathematical Sciences (United States)
Derginin Tarandığı İndeksler: Scopus, MathSciNet, zbMATH
Anahtar Kelimeler: Ideal, Ideal statistical convergence, Statistical convergence of order θ
Uşak Üniversitesi Adresli: Evet

Özet

We introduce a considerable convergence structure called I(λ)-statistical convergence of order θ with respect to seminorm q. In this paper, to further extend the notion of λ-statistical convergence, which is defined by Mursaleen (Math Slovaca 50:111–115, 2000). We mainly focus on improving and generalizing some existing results on sequence spaces. Moreover, some detailed inclusion relations are established between these sequence spaces. We also leave a fruitful open problem.