Some new paranormed difference sequence spaces and weighted core
Küçük Resim Yok
Tarih
2012
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, we define new paranormed sequence spaces by combining a generalized weighted mean and a difference operator. Furthermore, we compute the alpha-,beta- and gamma- duals and obtain bases for these sequence spaces. Besides this, we characterize the matrix transformations from the new paranormed sequence spaces to the spaces c(0)(q), c(q), l(q) and l(infinity)(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. (c) 2012 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
Paranormed sequence spaces, Matrix transformations, Generalized weighted mean matrix, Core of a sequence
Kaynak
Computers & Mathematics With Applications
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
64
Sayı
6
