ALMOST DIFFERENCE SEQUENCE SPACES DERIVED BY USING A GENERALIZED WEIGHTED MEAN

In this study, we define the spaces f s(u, v, Delta), f(u, v, Delta) and f(0)(u, v, Delta) that consist of all sequence whose G(u, v, Delta)- transforms are in the set of almost convergent sequence and series spaces. Some topological properties of the new almost convergent sets have been investigated as well as gamma- and beta-duals of the spaces f(u, v, Delta) and f s(u, v, Delta). Also, the characterization of certain matrix classes on/into the mentioned spaces has exhaustively been examined. Finally, some identities and inclusion relations related to core theorems are established.