| F-G广义凸函数的一个性质及其应用 |
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| 引用本文： | 时统业,焦寨军,周国辉.F-G广义凸函数的一个性质及其应用[J].贵州师范大学学报(自然科学版),2012,30(5):41-45,68. |
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| 作者姓名： | 时统业 焦寨军 周国辉 |
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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： | 给出F-G广义凸函数的一个性质,由此直接得到F-G广义凸函数的一个Hadamard型不等式,它蕴含了诸如预不变凸函数、对数凸函数、几何凸函数、F拟凸函数、r-凸函数等特殊类型的凸函数的Hadamard型不等式.
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| 关 键 词： | F-G广义凸函数 凸函数 条件P1、P2 单调性 Hadamard型不等式 |
A property of F-G generalized convex functions and its applications |
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| SHI Tong-ye,JIAO Zhai-jun,ZHOU Guo-hui.A property of F-G generalized convex functions and its applications[J].Journal of Guizhou Normal University(Natural Sciences),2012,30(5):41-45,68. |
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| Authors: | SHI Tong-ye JIAO Zhai-jun ZHOU Guo-hui |
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| Institution: | (Pukou Institute of Naval Command College,Nanjing,Jiangsu 211800,China) |
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| Abstract: | A property of F-G generalized convex functions is given,and a Hadamard’type inequality for F-G generalized convex functions is established,it deriving Hadamard’type inequalities for special types of convex functions,such as preinvex functions,logarithmic convex functions,geometric convex functions,F quasi convex functions,r-convex functions. |
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| Keywords: | F-G generalized convex functions convex functions condition P1、P2 monotonicity Hadamard’type inequality |
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