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In this paper we introduce the strongly generalized difference sequence spaces using non-negative four dimensional matrix of complex numbers. We also give natural relationship between strongly generalized difference V 3Γ3 λ3 [A,∆, p, f ]− summable sequences with respect to f . We examine some topological properties of V 3Γ3 λ3 [A,∆, p, f ]− spaces and investigate some inclusion relations between these spaces.

The strongly generalized triple difference Γ3 sequence spaces defined by a modulus