Lacunary Statistically Convergence via Modulus Function Sequences
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Murat TOSUN
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Modifying the definition of density functions is one method used to generalise statistical convergence. In the present study, we use sequences of modulus functions and order α ∈ (0, 1] to introduce a new density. Based on this density framework, we define strong (fk)-lacunary summability of order α and (fk)-lacunary statistical convergence of order α for a sequence of modulus functions (fk). This concept holds an intermediate position between the usual convergence and the statistical convergence for lacunary sequences. We also establish inclusion theorems and relations between these two concepts in the study. © 2024, Murat TOSUN. All rights reserved.
Açıklama
Anahtar Kelimeler
Lacunary statistical convergence, Lacunary summability, Modulus function, Weighted density
Kaynak
Mathematical Sciences and Applications E-Notes
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
12
Sayı
4
