On the Paranormed Space of Bounded Variation Double Sequences
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springernature
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, as the domain of four-dimensional backward difference matrix in the space Lu(t), we introduce the complete paranormed space BV(t) of bounded variation double sequences and examine some properties of that space. Also, we determine the gamma-dual and beta(theta)-dual of the space BV(t). Finally, we characterize the classes (BV(t):Mu), (BV(t):C theta) and (Lu(t):mu) with mu is an element of{BS,CS theta,Mu(Delta),C theta(Delta)}, where Mu(Delta) and C theta(Delta) denote the spaces of all double sequences whose Delta-transforms are in the spaces Mu and C theta, respectively.
Açıklama
Anahtar Kelimeler
Summability theory, Double sequences, Double series, Alpha, beta and gamma duals, Matrix domain of four-dimensional matrices, Matrix transformations
Kaynak
Bulletin of The Malaysian Mathematical Sciences Society
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
43
Sayı
3
