| 一致似凸函数和一致半严格似凸函数 |
| |
| 引用本文： | 雷忠学,朱道立.一致似凸函数和一致半严格似凸函数[J].苏州科技学院学报(社会科学版),1992(Z1). |
| |
| 作者姓名： | 雷忠学 朱道立 |
| |
| 作者单位： | 铁道师院数学系
(雷忠学)，上海交通大学(朱道立) |
| |
| 基金项目： | 国家教委优秀年轻教师基金资助项目 |
| |
| 摘 要： | H.H.artwig和F.A.Behriger研究了一致似拟凸函数的性质。本文进一步定义和讨论了一致似凸函数和一致半严格似凸函数及其性质,特别是广义Karamardian定理对于一致半严格似凸函数成立。
|
| 关 键 词： | 一致似凸 一致半严格似凸 λ-下水平集 |
Uniformly Convexlike and Uniformly Semistrictly Convexlike Functions |
| |
| Lei Zhongxue.Uniformly Convexlike and Uniformly Semistrictly Convexlike Functions[J].Journal of University of Science and Technology of Suzhou:Social Science,1992(Z1). |
| |
| Authors: | Lei Zhongxue |
| |
| Institution: | Lei Zhongxue
( Suzhou Railway Teachers College)
Zhu Daoli
(Shanghai Jiao Tong University) |
| |
| Abstract: | H.Hartwig3] and F.A.Behringer1] 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. |
| |
| Keywords: | |
| 本文献已被 CNKI 等数据库收录！ |
