预不变凸函数的若干性质  

SOME PROPERTIES OF PREINVEX FUNCTION

作　　者：黄金莹[1] 赵宁[1] 宋丽艳[1] 

机构地区：[1]佳木斯大学

出　　处：《哈尔滨师范大学自然科学学报》2009年第3期36-39,共4页Natural Science Journal of Harbin Normal University

摘　　要：在一定条件下,当预不变凸函数满足中间点严格、半严格、强预不变凸性时,预不变凸函数成为严格、半严格、强预不变凸函数;当一致不变凸函数满足中间点预不变凸性时,一致不变凸函数成为预不变凸函数;当强预不变凸函数满足中间点严格、半严格强预不变凸性时,强预不变凸函数成为严格、半严格强预不变凸函数.In this paper, we prove that under certain condition,when preinvex function satisfies intermediate - point strictly preinvexity, semistrictly preinvexity and strongly preinvexity, preinvex function becomes strictly prein- vex function, semistrictly preinvex function and strongly preinvex function; when uniformly invex function satis- fies intermediate - point preinvexity, uniformly invex function becomes preinvex function; when strongly pre- invex function satisfies intermediate - point strictly strongly preinvexity and semistrictly strongly preinvexity, strongly preinvex function becomes strictly strongly preinvex function and semistrictly strongly preinvex function

关 键 词：预不变凸函数 严格预不变凸函数 半严格预不变凸函数 强预不变凸函数 一致不变凸函数 

分 类 号：O177.91[理学—数学] O221.2[理学—基础数学]