| 关于三个未解决的不等式问题 |
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| 引用本文： | 吴树宏. 关于三个未解决的不等式问题[J]. 高等数学研究, 2014, 0(1): 17-19 |
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| 作者姓名： | 吴树宏 |
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| 作者单位： | 武汉理工大学理学院 |
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| 基金项目： | 国家天元基金(10971056) |
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| 摘 要： | 通过求二阶导数或列举反例的方法可解决《常用不等式（第四版）》末尾提出的问题3、问题13和问题62,另外,利用Lyapunov不等式及Moran不等式可给出其问题190中一个不等式的下界.
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| 关 键 词： | 不等式 导数 凸函数 |
Three Inequalities |
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| WU Shuhong. Three Inequalities[J]. Studies In College Mathematics, 2014, 0(1): 17-19 |
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| Authors: | WU Shuhong |
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| Affiliation: | WU Shuhong;School of Science,Wuhan University of Technology; |
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| Abstract: | In this paper we make use of second order derivative and counterexample to prove or disprove three inequalities appeared at the end of the book Applied Inequalities,4th ed.,by Kuang Jichang.A lower bound of an inequality is also provided by the use of Lyapunov inequality and Moran inequality. |
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| Keywords: | inequality derivative convex function |
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