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

In this article, we introduce the lac unary difference sequence spaces w(0)(M, theta, Delta(n)(m), p, q), w(1)(M, theta, Delta(n)(m), p, q) and w(infinity)(M, theta, Delta(n)(m), p, q) using a sequence M = (M-k) of Orlicz functions and investigate sonic relevant properties of these spaces. Then, we define and study the notion of q-lacunary Delta(n)(m)-statistical convergent sequences. Further, we study the relationship between q-lacunary Delta(n)(m)-statistical convergent sequences and the spaces w(0)(M, theta, Delta(n)(m), p, q) and w(1)(M, theta, Delta(n)(m), p, q).