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The aim of this paper is to introduce and study the sequence spaces ( w; ; F; p; q ) 1(∆ m ), ( w; ; F; p; q ) 1(∆ m ) and ( w; ; F; p; q ) 0(∆ m ), which arise from the no- tions of generalized difference sequence space, lacunary convergence, invariant mean and a sequence of Moduli F = ( f k). We establish some inclusion relations between these spaces under some conditions.

On Some Lacunary Generalized Difference Sequence Spaces of Invariant Means De ned by a Sequence of Modulus Function