| P-凸函数及其性质 |
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| 引用本文： | 张孔生,万建平.P-凸函数及其性质[J].纯粹数学与应用数学,2007,23(1):130-133. |
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| 作者姓名： | 张孔生 万建平 |
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| 作者单位： | 华中科技大学数学系,湖北,武汉,430074;华中科技大学数学系,湖北,武汉,430074 |
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| 摘 要： | 给出P-凸函数的定义及其性质,将一个有关凸函数的命题推广到P-凸函数情形,并指出赵海清等人关于该命题的证明过程是错误的.
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| 关 键 词： | 凸函数 P-凸函数 Jensen型不等式 |
| 文章编号： | 1008-5513（2007）01-0130-04 |
| 收稿时间： | 2005-09-30 |
| 修稿时间： | 2005-09-30 |
P-convex functions and their properties |
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| ZHANG Kongsheng,WAN Jianping.P-convex functions and their properties[J].Pure and Applied Mathematics,2007,23(1):130-133. |
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| Authors: | ZHANG Kongsheng WAN Jianping |
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| Institution: | Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074,China |
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| Abstract: | P-convex functions are defined,some methods to distinguish the P-convex functions are obtained,a theorem respect to convex functions is expended to P-convex functions,the mistake proving the theorem by Zhao is pointed out. |
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| Keywords: | convex functions P-convex functions Jensen type inequality |
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