On Some Properties Paranormed Sequence Spaces Generated by Generalized Sequence Means and Core Theorems
Küçük Resim Yok
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Chiang Mai Univ, Fac Science
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Recently, Mursaleen and Noman constructed new sequence spaces by using a matrix domain over a normed space [On generalized means and some related sequence spaces, Comput. Math. Appl. 61 (2011) 988-999]. They also studied some topological properties of these spaces. In this work, we generalize the normed sequence space defined by Mursaleen and Noman to paranormed space. Furthermore, we introduce new sequence space over the paranormed space by using the expansion method. Then, we investigate some topological properties. Finally, we introduce generalized means core of a complex-valued sequence prove some inclusion theorems related to this new type of core.
Açıklama
Anahtar Kelimeler
Paranormed Sequence Space, Alpha-, Beta And Gamma-Duals, Core Theorems, Generalized Means
Kaynak
Thai Journal Of Mathematics
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
15
Sayı
3
