In this paper we introduce the spaces V λ [A , M, , p] o , V λ [ A, M, , p ] and
V λ [ A, M, , p ] ∞ generated by infinite matrices defined by Orlicz functions. Also we introduce the
concept of S λ [ A, ] −convergence and derive some results between the spaces S λ [A , ] and V λ [ A, ] .
Further, we study some geometrical properties such as order continuity, the Fatou property and the
Banach–Saks property of the new space V α
λ [ A, , p ] ∞ . Finally, we introduce the notion of almost
λ-statistically-[ A , ]-convergence of order α or S α
λ [ A, ] −convergence and obtain some inclusion
relations between the set S α
λ [A , ] and the space V α
λ [ A, , p ] ∞ .