Şengül, HacerEt, Mikail2024-12-242024-12-2420171686-0209https://hdl.handle.net/20.500.12604/3932In this paper, we define the generalized Cesàro difference sequence space C(p) (?m) and consider it equipped with the Luxemburg normunder which it is a Banach space and we show that in the space C(p) (?m) every weakly convergent sequence on the unit sphere converges is the norm, where p = (pn) is a bounded sequence of positive real numbers with pn > 1 for all n ? N. © 2017 by the Mathematical Association of Thailand. All rights reserved.eninfo:eu-repo/semantics/closedAccessCesàro difference sequence spaceConvex modularExtreme pointLuxemburg normProperty (H)Article152465474Q42-s2.0-85028745105