| 一类条件不等式的控制证明与应用 |
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| 引用本文： | 石焕南,张静.一类条件不等式的控制证明与应用[J].纯粹数学与应用数学,2013(5):441-449. |
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| 作者姓名： | 石焕南 张静 |
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| 作者单位： | [1]北京联合大学师范学院电气信息系,北京100011 [2]北京联合大学基础部,北京100101 |
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| 基金项目： | 北京市属高等学校人才强教计划资助项目（PHR201108407）. |
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| 摘 要： | 通过判断相关函数的Schur凸性、Schur几何凸性和Schur调和凸性,证明并推广了一类条件不等式,并据此建立了某些单形不等式.
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| 关 键 词： | Schur 凸性 Schur调和凸性 Schur几何凸性 条件不等式 单形 |
Majorized proof and applications for a class of conditional inequality |
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| Shi Huannan,Zhang Jing.Majorized proof and applications for a class of conditional inequality[J].Pure and Applied Mathematics,2013(5):441-449. |
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| Authors: | Shi Huannan Zhang Jing |
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| Institution: | 1. Department of Electronic Information, Teacher＇s College of Beijing Union University Beijing 100011, China; 2. Basic Courses Department, Beijing Union University, Beijing 100101, China) |
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| Abstract: | To determine Schur convexity, Schur-geometric and harmonic convexities of the related function, a class of conditional inequality is proved. As an application, several simplex inequalities are obtained . |
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| Keywords: | Schur-convexity Schur harmonic convexity Schur geometric convexity conditional inequality simplex |
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