THE GENERALIZED NON-ABSOLUTE TYPE OF TRIPLE Γ3 SEQUENCE SPACES DEFINED MUSIELAK-ORLICZ FUNCTION

Abstract

In this paper we introduce the notion of λmnk - Γ3 and Λ3 sequences. Further, we introduce the spaces hΓ3 fλ; k(d (x1; 0) ; d (x2; 0) ; · · · ; d (xn-1; 0))kpiand hΛ3 fλ; k(d (x1; 0) ; d (x2; 0) ; · · · ; d (xn-1; 0))kpi ; which are of nonabsolute type and we prove that these spaces are linearly isomorphicto the spaces Γ3 and Λ3; respectively. Moreover, we establish someinclusion relations between these spaces.