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In this article, we have introduced the idea of statistically convergent generalized difference lacunary double sequence spaces [¯w2 (M, Δn, p,q)]θ,   [¯w2 (M, Δn, p,q)]θ and defined over a semi norm space (X, q). Also we have study some basic properties and obtained some inclusion relations between them.

Some Generalized Lacunary statistically difference double semi-normed sequence spaces defined by Orlicz function