On some lacunary generalized difference sequence spaces of invariant means defined by a sequence of modulus functions

Abstract

The aim of this paper is to introduce and study the sequence spaces [w; ?; F; p; q]?(? m v), [w; ?, F, p, q]1(? m v) and [w; ?, F, p, q]0(? m v), which arise from the no-tions of generalized difference sequence space, lacunary convergence, invariant mean and a sequence of Moduli F = (fk). We establish some inclusion relations between these spaces under some conditions.