Paper Title:

Some Generalized Difference Sequence Spaces Defined by Orlicz Functions

Author(s):

Ramzi S. N. Alsaedi and Ahmad H. A. Bataineh

Department of Mathematics, King Abdul Aziz University,
Jeddah P.O.Box 80203,
Saudia Arabia
ramzialsaedi@yahoo.co.uk

Department of Mathematics, Al al-Bayt University,
Mafraq 25113,
Jordan
ahabf2003@yahoo.ca

Abstract:

In this paper, we define the sequence spaces: [V,M,p,u,Δ ],[V,M,p,u,Δ]₀ and [V,M,p,u,Δ]_∞, where for any sequence x=(x_n), the difference sequence Δx is given by Δx=(Δx_n) = (x_n-x_n-1) . We also study some properties and theorems of these spaces. These are generalizations of those defined and studied by Savas and Savas and some others before.

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