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Difference sequence spaces

A. K. Gaur and Mursaleen

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-6

Abstract:

In [1] S r ( Δ ) : = { x = ( x k ) : ( k r | Δ x k | ) k = 1 ∞ ∈ c 0 } for r ≥ 1 is studied. In this paper, we generalize this space to S r ( p , Δ ) for a sequence of strictly positive reals. We give a characterization of the matrix classes ( S r ( p , Δ ) , ℓ ∞ ) and ( S r ( p , Δ ) , ℓ 1 ) .

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:654701

DOI: 10.1155/S0161171298000970

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