| 凸函数与半连续函数的关系 |
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| 引用本文： | 黄金莹,赵宇,康兆敏.凸函数与半连续函数的关系[J].数学的实践与认识,2010,40(13). |
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| 作者姓名： | 黄金莹 赵宇 康兆敏 |
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| 基金项目： | 黑龙江省教育厅科学技术研究资助项目 |
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| 摘 要： | 通过研究凸函数与半连续函数的关系,给出了凸函数的一个与上半连续性相结合的等价定义.
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| 关 键 词： | 凸函数 严格凸函数 上半连续函数 下半连续函数 |
The Relationship between Convex Functions and Semicontinuous Functions |
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| HUANG Jin-ying,ZHAO Yu,KANG Zhao-min.The Relationship between Convex Functions and Semicontinuous Functions[J].Mathematics in Practice and Theory,2010,40(13). |
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| Authors: | HUANG Jin-ying ZHAO Yu KANG Zhao-min |
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| Abstract: | Through the study of the relationship between convex functions and semicontinuous functions,the author gives a convex function's equivalent definition combine with upper semicontinuous funtion. |
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| Keywords: | convex function strict convex function upper semicontinuous funtion lower semicontinuous funtion |
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