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In this paper we introduce the notion of λ mnk - Γ 3 and Λ 3 sequences. Further, we introduce the spaces h Γ 3 fλ ; k ( d ( x 1 ; 0) ; d ( x 2 ; 0) ; · · · ; d ( x n - 1 ; 0)) k p i and h Λ 3 fλ ; k ( d ( x 1 ; 0) ; d ( x 2 ; 0) ; · · · ; d ( x n - 1 ; 0)) k p i ; which are of nonabsolute type and we prove that these spaces are linearly isomorphic to the spaces Γ 3 and Λ 3 ; respectively. Moreover, we establish some inclusion relations between these spaces.

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