Lacunary strong A-convergence with respect to a sequence of modulus functions

摘要

The definition of lacunary strong A-convergence with respect to a modulus is extended to a definition of lacunary strong A-convergence with respect to a sequence of modulus functions. We study some connections between lacunary strong A-convergence with respect to a sequence modulus functions and lacunary A-statistical convergence, where A=(aik) is an infinite matrix of complex numbers.