Some generalized difference sequence spaces of invariant means defined by Orlicz functions

Ahmad H. A. Bataineh and Laith E. Azar

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-10

Abstract:

We define the sequence spaces [ w θ , M , p , u , Δ ] σ , [ w θ , M , p , u , Δ ] σ 0 , and [ w θ , M , p , u , Δ ] σ ∞ which are defined by combining the concepts of Orlicz functions, invariant means, and lacunary convergence. We also study some inclusion relations and linearity properties of the above-mentioned spaces. These are generalizations of those defined and studied by Savaş and Rhoades in 2002 and some others before.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:620573

DOI: 10.1155/IJMMS.2005.1713

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