Some new paranormed difference sequence spaces and weighted core      
Yazarlar (2)
Prof. Dr. Serkan DEMİRİZ Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Celal Çakan
İnönü Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale
Dergi Adı Computers and Mathematics with Applications
Dergi ISSN 0898-1221 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q4
Makale Dili İngilizce
Basım Tarihi 09-2012
Cilt No 64
Sayı 6
Sayfalar 1726 / 1739
DOI Numarası 10.1016/j.camwa.2012.01.050
Makale Linki http://linkinghub.elsevier.com/retrieve/pii/S0898122112000715
Özet
In this study, we define new paranormed sequence spaces by combining a generalized weighted mean and a difference operator. Furthermore, we compute the α-,β- andγ- duals and obtain bases for these sequence spaces. Besides this, we characterize the matrix transformations from the new paranormed sequence spaces to the spaces c0(q),c(q),ℓ(q) and ℓ∞(q). Finally, weighted core of a complex-valued sequence has been introduced, and we prove some inclusion theorems related to this new type of core. © 2012 Elsevier Ltd. All rights reserved.
Anahtar Kelimeler
Core of a sequence | Generalized weighted mean matrix | Matrix transformations | Paranormed sequence spaces