International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 4, Pages 701-706
doi:10.1155/S0161171298000970
Difference sequence spaces
A.K. Gaur1
and Mursaleen2
1Department of Mathematics, Duquesne University, Pittsburgh 15282, PA, USA
2Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Abstract
In [1] Sr(Δ):={x=(xk):(kr|Δxk|)k=1∞∈c0} for r≥1 is studied. In this paper, we generalize this space to Sr(p,Δ) for a sequence of strictly positive reals. We give a characterization of the matrix classes (Sr(p,Δ),ℓ∞) and (Sr(p,Δ),ℓ1).