| 广义凸函数的几个控制不等式 |
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| 引用本文： | 刘学飞,胡晓红.广义凸函数的几个控制不等式[J].湘潭大学自然科学学报,2005,27(3):16-19,23. |
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| 作者姓名： | 刘学飞 胡晓红 |
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| 作者单位： | 1. 重庆三峡学院数学系,重庆,万州,404000
2. 重庆邮电学院计算机科学与技术学院,重庆,400065 |
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| 基金项目： | 国家自然科学基金资助项目（10231010）;重庆市教育厅资助项目（KJ051109,06110X） |
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| 摘 要： | 相对于一元实值凸函数，基于n-维线性空间上一般意义下两类（广义的）凸函数-n维线性空间上凸函数及强凸函数的定义，讨论了广义凸函数及强凸函数的几个控制不等式，推广了相关结论。
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| 关 键 词： | 凸集 有向轨道 广义梯度 凸函数 强凸函数 控制不等式 |
| 文章编号： | 1000-5900（2005）03-0016-04 |
| 收稿时间： | 2004-11-07 |
| 修稿时间： | 2004-11-07 |
Some Control Inequalities for Generalized Convex Functions |
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| LIU Xue-fei,HU Xia-hong.Some Control Inequalities for Generalized Convex Functions[J].Natural Science Journal of Xiangtan University,2005,27(3):16-19,23. |
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| Authors: | LIU Xue-fei HU Xia-hong |
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| Institution: | 1. Department of Mathematics, Chongqing Three Gorges College, Chongqing 404000 China; 2. College of Computer Science and technoloy, Chongqing University of Posts and Telecommunications, Chongqiing 400065 China |
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| Abstract: | Relative to the conception of real convex function in a 1 - dimensional space, the definitions of some generalized convex functions - - convex functions in an n - dimensional linear space and forcible convex functions in an n - dimensional linear space are introduced, and several control inequalities for generalized convex functions are diseussed by the definitions of generalized convex functions and forcible - convex function. In a sense, the results in this paper extend correlative results in works 2- 3]. |
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| Keywords: | Convex set An orbit of a direction Generalized convex function Forcibly convex Junction Control inequality |
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