MATHEMATICAL INEQUALITIES & APPLICATIONS, cilt.5, sa.2, ss.271-281, 2002 (SCI-Expanded)
The purpose of this paper is to introduce and study some sequence spaces which are defined by combining the concepts of a Orlicz function, invariant mean and lacunary convergence. We also examine some topological properties of these spaces and establish some elementary connections between lacunary [w](sigma)-convergence and lacunary [w](sigma)-convergence with respect to an Orlicz functions which satisfy a Delta(2)-condition.