On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary ∆m-statistical convergence

In this article, we introduce the lacunary difference sequence spaces w0(M , θ,∆ n m, p, q), w1(M , θ,∆ n m, p, q) and w∞(M , θ,∆ n m, p, q) using a sequence M = (Mk) of Orlicz functions and investigate some relevant properties of these spaces. Then, we define and study the notion of qlacunary ∆nm-statistical convergent sequences. Further, we study the relationship between q-lacunary ∆nm-statistical convergent sequences and the spaces w0(M , θ,∆ n m, p, q) and w1(M , θ,∆ n m, p, q).