On quasi statistical convergence in gradual normed linear spaces
Yükleniyor...
Tarih
2023-10
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Işık University Press
Erişim Hakkı
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivs 3.0 United States
Attribution-NonCommercial-NoDerivs 3.0 United States
Özet
During the last few years, enormous works by different researchers have been carried out in summability theory by linking different notions of convergence of sequences. In the present paper, we introduce the concept of quasi statistical convergence and strong quasi statistical summability in gradual normed linear spaces. We investigate some of its basic properties and the interrelationship between the newly introduced notions. It has been observed that every gradual quasi statistical convergent sequence is gradual quasi statistical bounded but not necessarily gradual bounded. Finally, we introduce the concept of gradual quasi statistical Cauchy sequences and show that every gradual quasi statistical convergent sequence is a gradual quasi statistical Cauchy sequence.
Açıklama
Anahtar Kelimeler
Gradual number, Gradual normed linear space, Quasi-density, Gradual quasi statistical convergence
Kaynak
TWMS Journal Of Applied And Engineering Mathematics
WoS Q Değeri
Scopus Q Değeri
Cilt
13
Sayı
4
Künye
Choudhury, C. & Debnath, S. (2023). On quasi statistical convergence in gradual normed linear spaces. TWMS Journal Of Applied And Engineering Mathematics, 13(4), 1327-1336.
