Matrix transformations on some sequence spaces related to strong Cesaro summability and boundedness
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The spaces a(0)(r)(Delta), a(c)(r)(Delta) and a(infinity)(r)(Delta) introduced by Aydin and Basar [ C. Aydin, F. Basar, Some new difference sequence spaces, Appl. Math. Comput. 157 (3) (2004) 677-693] can be considered as the matrix domains of a triangle in the sets of all sequences that are summable to zero, summable, and bounded by the Cesaro method of order 1. Here we de. ne the sets of sequences which are the matrix domains of that triangle in the sets of all sequences that are summable, summable to zero, or bounded by the strong Cesaro method of order 1 with index p >= 1. We determine the beta-duals of the new spaces and characterize matrix transformations on them into the sets of bounded, convergent and null sequences. (c) 2009 Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
Matrix domain in a sequence space, beta-Duals, Matrix transformations
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
211
Sayı
2
