Domain of Riesz mean in some spaces of double sequences
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Bv
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, we define the double sequence spaces (M-u)(Rqt), (Cp)(Rqt), (C-bp)(Rqt) and (C-r)(Rqt) as the domain of four dimensional Riesz mean R-qt in the spaces M-u, C-p, C-bp and C-r, respectively. Then, we examine some topological properties of those sequence spaces and we characterize the RH-regularity of the Riesz mean R-qt. Taking v is an element of{p, bp, r}, we determine the beta(v)-duals of the spaces (C-v)(Rqt) and we characterize the classes ((C-r)(Rqt) : C-v), (mu : (C-v)(Rqt)) and ((C-v)(Rqt) : C-f) of four-dimensional matrix transformations, where mu and C-f denote any given double sequence space and the space of almost convergent double sequences, respectively. (C) 2018 Published by Elsevier B.V. on behalf of Royal Dutch Mathematical Society (KWG).
Açıklama
Anahtar Kelimeler
Summability theory, Double sequences, Double series, Alpha-, beta- and gamma-duals, Matrix domain of 4-dimensional matrices, Matrix transformations
Kaynak
Indagationes Mathematicae-New Series
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
29
Sayı
3
