Sengul, HacerEt, Mikail2024-12-242024-12-2420171686-0209https://hdl.handle.net/20.500.12604/8121In this paper, we define the generalized Cesaro difference sequence space C-(p) (Delta(m)) and consider it equipped with the Luxemburg norm under which it is a Banach space and we show that in the space C-(p) (Delta(m)) every weakly convergent sequence on the unit sphere converges is the norm, where p - (p(n)) is a bounded sequence of positive real numbers with p(n) > 1 for all n is an element of N.eninfo:eu-repo/semantics/closedAccessCesaro difference sequence spaceLuxemburg normextreme pointconvex modularproperty (H)Article152465474N/AWOS:000422724200012