Lacunary strong Aq-convergence sequence spaces defined by a sequence of moduli

The definition of lacunary strong A-convergence to a modulus is extended to a definition of lacunary strong Aq-convergence with respect to a sequence of moduli. We study some connections between lacunary strong Aq-convergence with respect to a sequence of moduli and lacunary Aq-statistical convergence, where A is a sequence of matrices An=(aik (n)) of complex numbers.