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| 凸函数与Jensen不等式 | |
| 引用本文： | 覃平阳. 凸函数与Jensen不等式[J]. 科技资讯, 2013, 0(27): 241-242 |
| 作者姓名： | 覃平阳 |
| 作者单位： | 潍坊科技学院,山东寿光262700 |
| 摘 要： | 不等式是研究分析数学的重要工具,很多常见不等式又是与函数的凸性分不开的.文章先给出了凸函数的定义,利用其等价条件证明了Jensen不等式,并介绍了其应用. |
| 关 键 词： | 凸函数 等价条件 Jensen不等式 |
convex function and Jensen Inequality |
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| Qin Pingyang. convex function and Jensen Inequality[J]. Science & Technology Information, 2013, 0(27): 241-242 | |
| Authors: | Qin Pingyang |
| Affiliation: | Qin Pingyang (Weifang University of Science and Technology, Shouguang Shandong 262700,China) |
| Abstract: | Inequality is an important tool to research analytical mathematics,and a lot of common inequality can not be separated from the convex quality of function. This paper introduces the definition of convex function. Jensen inequality is proved with some equivalent conditions of convex functions,and its application is introduced. |
| Keywords: | Convex function Equivalent condition Jensen inequality |
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