Uniformly Convexlike and Uniformly Semistrictly Convexlike Functions
Lei Zhongxue ( Suzhou Railway Teachers College) Zhu Daoli (Shanghai Jiao Tong University)
H.Hartwig and F.A.Behringer have recently studied some properties of uniformly quasiconvexllke functions. In this paper we further define uniformly semistrictly convexlike and uniformly convexlike functions and discuss their properties. In particular, this paper shows that generalized Karamardian's theorem is tenable with respect to uniformly semistrictly convexlike functions.