On Cesàro Sequence Space defined by an Orlicz Function

Abstract

In this paper we provide a suitable generalization of the sequence space ${\it ces}_{M}$ of Orlicz [6] by using a sequence of strictly positive real numbers and study various topological properties and inclusion relations which generalize several known results of Orlicz [6], Shiue [9], Sanhan and Suantai [8], and Leibowitz [3].