ON A GENERALIZED DIFFERENCE SEQUENCE SPACES DEFINED BY A MODULUS FUNCTION AND STATISTICAL CONVERGENCE

In this paper, we define the sequence spaces: , where E is any Banach space, and u = () be any sequence such that for any k , examine them and give various properties and inclusion relations on these spaces. We also show that the space may be represented as a space. These are generalizations of those defined and studied by M. Et., Y. Altin and H. Altinok [7].