| 调和凸函数的调和平均型Hadamard不等式 |
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| 引用本文： | 宋振云.调和凸函数的调和平均型Hadamard不等式[J].孝感职业技术学院学报,2011(1):105-108. |
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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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| 摘 要： | 考虑调和凸函数的调和凸性,针对调和凸函数的调和平均,利用调和凸函数的Jensen型不等式,应用定积分的定义,通过定积分运算,得到了调和凸函数的调和平均型Hadamard不等式,并给出了简单应用.
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| 关 键 词： | 调和凸函数 Jensen不等式 Hadamard不等式 α次幂积分平均 调和平均 |
Hadamard Inequality of Harmonic Average Type for Harmonic Convex Function |
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| SONG Zhen-yun.Hadamard Inequality of Harmonic Average Type for Harmonic Convex Function[J].Journal of Xiaogan Vocational-Technical College,2011(1):105-108. |
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| Authors: | SONG Zhen-yun |
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| Institution: | SONG Zhen-yun (School of Information Technology,Hubei Polytechnic Institute,Xiaogan,Hubei 432000,China) |
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| Abstract: | Considering the harmonic convexity of harmonic convex function,according to the harmonic average of harmonic convex function,using the inequality of Jensen-type and applying the definition and calculation of definite integral,this paper defines the Hadamard inequality of harmonic average type for harmonic convex function and gives some simple applications. |
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| Keywords: | Harmonic convex function Jensen inequality Hadamard inequality a-time integral power average harmonic average |
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