Characterization of certain matrix classes involving generalized difference summability spaces

The main aim of this article is to generalize the notion of almost convergent, Cesàro summable and lacunary summable spaces by using a generalized difference operator defined associating a sequence of non-zero scalars and characterize some matrix classes involving these sequence spaces. In this article we also introduce the idea of difference infinite matrices. It is expected that these investigations will generalize several notions associated with thus constructed spaces as well as of matrix transformations. M.S.C. 2000: 46B20, 46E30, 40C05.