Weighted statistical rough convergence in normed spaces
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maejo University
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Statistical convergence is a significant generalisation of the traditional convergence of real or complex valued sequences. Over the years, it has been studied by many authors and found many applications in various problems. In this paper we introduce a new concept about statistical rough convergence for sequences in normed spaces by using weighted density, which is a generalisation of the natural density. We investigate the fundamental properties of g-statistical rough convergence and statistical rough limit points including closeness, convexity and boundedness. We also establish a relationship between statistical rough limit points and g-statistical boundedness. The obtained results provide a new framework for studying statistical rough convergence. © 2024 by Maejo University, San Sai, Chiang Mai, 50290 Thailand.
Açıklama
Anahtar Kelimeler
g-weight density, limit points, normed spaces, statistical rough convergence
Kaynak
Maejo International Journal of Science and Technology
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
18
Sayı
2
