Some Difference Paranormed Sequence Spaces over n-normed Spaces Defined by a Musielak-Orlicz Function

Abstract

In the present paper we introduce difference paranormed sequence spaces c0(M; ∆ n;p;u;jj ; ;jj ), c(M; ∆ n;p;u;jj ; ;jj ) and l1(M; ∆ n;p;u;jj ; ;jj ) de- fined by a Musielak-Orlicz function M = (Mk) over n-normed spaces. We also study some topological properties and some inclusion relations between these spaces.