STATISTICAL EXTENSION OF BOUNDED SEQUENCE SPACE
[ X ]
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ankara Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper by using natural density real valued bounded sequence space l(infinity) is extented and statistical bounded sequence space l(infinity)(st) is obtained. Besides the main properties of the space l(infinity)(st), it is shown that l(infinity)(st) is a Banach space with a norm produced with the help of density. Also, it is shown that there is no matrix extension of the space l(infinity) that its bounded sequences space covers l(infinity)(st). Finally, it is shown that the space l(infinity) is a non-porous subset of l(infinity)(st).
Açıklama
Anahtar Kelimeler
Natural density, statistical supremum, sequence spaces
Kaynak
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
70
Sayı
1
