| GA-凸函数的若干不等式等号成立的充要条件 |
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| 引用本文： | 陈少元,宋振云.GA-凸函数的若干不等式等号成立的充要条件[J].曲阜师范大学学报,2013(4):38-42. |
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| 作者姓名： | 陈少元 宋振云 |
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| 作者单位： | [1]湖北职业技术学院教务处 [2]信息技术学院,湖北省孝感市432000 |
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| 基金项目： | 湖北职业技术学院校级课题《定义在区间上的凸函数类型研究》（2012B10）. |
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| 摘 要： | 通过对GA-凸函数的Hadamard型不等式、离散型Jensen不等式、积分型Jensen不等式的比较与分析，得到了其等号成立的充要条件．
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| 关 键 词： | GA-凸函数 Hadamard型不等式 Jensen型不等式 等号成立 |
Necessary and Sufficient Condition of the Equality Sign of Some GA-convex Function Inequalities |
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| CHEN Shao-yuan,SONG Zhen-yun.Necessary and Sufficient Condition of the Equality Sign of Some GA-convex Function Inequalities[J].Journal of Qufu Normal University(Natural Science),2013(4):38-42. |
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| Authors: | CHEN Shao-yuan SONG Zhen-yun |
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| Institution: | 1) Dean＇ s Office of Hubei Polytechnic Institute (2) School of Mechanical and Electrical Engineering, 432000, Xiaogan, Hubei, PRC) |
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| Abstract: | By comparing and analysising of Hadamard inequlity, discrete Jensen inequlity, integral Jens- en inequlity of GA-convex function, the necessary and sufficient condition of the setting up of their equal sign is obtained. |
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| Keywords: | ： GA- convex function Hadamard inequlity Jensen inequlity the setting up of equal sign |
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