| 对数凸函数的积分型Jensen不等式及其应用 |
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| 引用本文： | 宋振云.对数凸函数的积分型Jensen不等式及其应用[J].衡阳师专学报,2011(3):21-23. |
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| 作者姓名： | 宋振云 |
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| 作者单位： | 湖北职业技术学院信息技术学院,湖北孝感432000 |
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| 基金项目： | 湖北省教育科学“十一五”规划项目（2010B296） |
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| 摘 要： | 建立了对数凸函数的积分型Jensen不等式及其加权推广形式,举例证明了函数的算术、几何、调和平均值不等式。
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| 关 键 词： | 对数凸函数 离散型Jensen不等式 积分型Jensen不等式 |
Integral Jensen Inequality of Logarithmically Convex Functions and Its Applications |
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| SONG Zhen-yun.Integral Jensen Inequality of Logarithmically Convex Functions and Its Applications[J].Journal of Hengyang Normal University,2011(3):21-23. |
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| Authors: | SONG Zhen-yun |
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| Institution: | SONG Zhen-yun(Information Technology School,Hubei Polytechnic Institute,Xiaogan Hubei 432000,China) |
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| Abstract: | The integral Jensen inequality and its weighted form for logarithmically convex functions are obtained.A simple proof is presented for the arithematic,geometric and harnomic inequality of functions. |
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| Keywords: | logarithmic convex function discrete Jensen ineqnality integral Jensen ineqnality |
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