In this paper, our main purpose is to define and to investigate the seguence space 1 (p, s) and to determine the matrices of classes (1 (p, s), ) and (1 (p, s), c) where 1^,00 and c are respe'cfively the spaces of böunded and convergent complex sequences âıid for p = (pj^) with pj^ > 0, the space 1 (p, s) is defined by