| 预不变凸函数的若干性质 |
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| 引用本文： | 黄金莹,赵宁,宋丽艳. 预不变凸函数的若干性质[J]. 哈尔滨师范大学自然科学学报, 2009, 25(3): 36-39 |
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| 作者姓名： | 黄金莹 赵宁 宋丽艳 |
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| 作者单位： | 佳木斯大学;佳木斯大学;佳木斯大学 |
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| 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．
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| 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 |
SOME PROPERTIES OF PREINVEX FUNCTION |
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| Huang Jinying,Zhao Ning,Song Liyan. SOME PROPERTIES OF PREINVEX FUNCTION[J]. Natural Science Journal of Harbin Normal University, 2009, 25(3): 36-39 |
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| Authors: | Huang Jinying Zhao Ning Song Liyan |
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| Affiliation: | Jiamusi University |
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| Abstract: | 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 |
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| Keywords: | Preinvex Function Strictly Preinvex Function Semistrictly Preinvex Function Strongly preinvex Function Uniformly invex Function |
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