| n-维线性空间上两类凸函数的几个控制不等式 |
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| 引用本文： | 刘学飞. n-维线性空间上两类凸函数的几个控制不等式[J]. 沈阳化工学院学报, 2004, 18(4): 299-302 |
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| 作者姓名： | 刘学飞 |
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| 作者单位： | 重庆三峡学院数学系,重庆,404000 |
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| 基金项目： | 重庆市科究基金(8070)，重庆三峡学院自然基金(20030104) |
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| 摘 要： | 相应于一维实值凸函数的定义及相关不等式,引入线性空间中的轨道和有关排序实数组的优先顺序等概念,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,得到广义凸函数及强凸函数的几个控制不等式.在某种意义下推广有关文献的结论.
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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： | 1004-4639(2004)04-0299-04 |
| 修稿时间： | 2004-03-22 |
Several Control Inequalities for Two Class Convex Functions on n-Dimensional Linear Space |
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| LIU Xue-fei. Several Control Inequalities for Two Class Convex Functions on n-Dimensional Linear Space[J]. Journal of Shenyang Institute of Chemical Technolgy, 2004, 18(4): 299-302 |
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| Authors: | LIU Xue-fei |
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| Abstract: | On the basis of the conception of real convex function in 1-dimensional space and its inequalities,the concepts,which are a kind of orbit in n-dimensional linear space and a kind of preferential order for real-number group according to some order,are introduced.Based on the definitions of two generalized convex functions-convex function in n-dimensional linear space and forcible conve function in n-dimensional linear space,several control inequalities for generalized convex functions are obtained.In a sense,the conclusions in this paper extend the results in literature. |
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| Keywords: | convex set directional orbit generalized convex function forcible convex function control inequality |
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