| 两类Hadamard型不等式的推广 |
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| 引用本文： | 时统业,尹亚兰,邓捷坤. 两类Hadamard型不等式的推广[J]. 大学数学, 2013, 29(1): 43-47 |
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| 作者姓名： | 时统业 尹亚兰 邓捷坤 |
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| 作者单位： | 海军指挥学院浦口分院,江苏南京,211800 |
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| 摘 要： | 通过引入两个函数,讨论了它们的凸性和单调性,由此得到下凸函数的Hadamard不等式的改进,推广了有关文献的结果.又根据GA-下凸函数与下凸函数的关系,得到GA-凸函数的Hadamard不等式的改进与推广.
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| 关 键 词： | 凸函数 GA-凸函数 Hadamard型不等式 |
Generalizations of Two Classes of Hadamard's Type Inequalities |
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| SHI Tong-ye , Yin Ya-lan , Deng Jie-kun. Generalizations of Two Classes of Hadamard's Type Inequalities[J]. College Mathematics, 2013, 29(1): 43-47 |
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| Authors: | SHI Tong-ye Yin Ya-lan Deng Jie-kun |
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| Affiliation: | (Pukou Institute of Naval Command College,Nanjing 211800,China) |
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| Abstract: | Two functions are defined.The convergence and monotonicity are discussed,then an Hadamard's type inequality for convex function is established,which improve and generalized corresponding results in refrerence.Furthermore,according to the relationship between GA-convex function and convex function,Hadamard's type inequality for GA-convex function is established. |
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| Keywords: | convex function GA-convex function Hadamard's type inequalities |
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