Generalized difference sequence spaces associated with a multiplier sequence on a real n-normed space

Abstract

The purpose of this paper is to introduce new sequence spaces associated with a multiplier sequence by using an infinite matrix, an Orlicz function and a generalized B-difference operator on a real n-normed space. Some topological properties of these spaces are examined. We also define a new concept, which will be called (B-Lambda(mu))(n)-statistical A-convergence, and establish some inclusion connections between the sequence space W(A, B-Lambda(mu), p, parallel to., ... , .parallel to) and the set of all (B-Lambda(mu))(n)-statistically A-convergent sequences.