Difference Series Spaces and Matrix Transformations

Abstract

This paper deals with new series space |C_? |_p (?) introduced by using Cesàro means and difference operator. It is shown that this newly defined space |C_? |_p (?) is a BK- space and has Schauder basis. Furthermore, the ?, ?, and ?-duals of |C_? |_p (?) are computed and the characterizations of classes of matrix mappings from |C_? |_p (?) to X={l_?,c,c_0} are also given.