| 几个幂次不等式的应用 |
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| 引用本文： | 邢家省,郭秀兰,崔玉英.几个幂次不等式的应用[J].河南科学,2008,26(11). |
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| 作者姓名： | 邢家省 郭秀兰 崔玉英 |
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| 作者单位： | 1. 北京航空航天大学,数学系,数学、信息与行为教育部重点实验室,北京,100083
2. 河南工业大学,理学院,郑州,450001 |
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| 基金项目： | 北京市级精品课程建设项目 |
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| 摘 要： | 引述几个初等的幂次不等式,给出了这些不等式在求极限、极值时的作用,使一系列问题得到直接的处理.并沟通了一些不等式之间的相互关系.
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| 关 键 词： | 贝努里不等式 几何算术平均不等式 不等式的应用 |
The Applications of Several Power Inequalities |
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| Xing Jiasheng,Guo Xiulan,Cui Yuying.The Applications of Several Power Inequalities[J].Henan Science,2008,26(11). |
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| Authors: | Xing Jiasheng Guo Xiulan Cui Yuying |
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| Institution: | Xing Jiasheng1,Guo Xiulan2,Cui Yuying1(1.Department of Mathematics,LMIB of the Ministry of Education,Beihang University,Beijing 100083,China,2.College of Science,Henan University of Technology,Zhengzhou 450001,China) |
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| Abstract: | This paper presents some elementary power inequalities,and describes its applications on the methods of limitation and extremum.The results show that a series of questions can be solved directly and the relations among the inequalities are established. |
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| Keywords: | Bernoulli’s inequality geometry average-arithmetic average inequality the application of inequality |
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