| l2的凸锥上共轭凸函数的指数共轭性 |
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| 引用本文： | 周金海 胡必锦. l2的凸锥上共轭凸函数的指数共轭性[J]. 宁夏大学学报(自然科学版), 1997, 18(3): 223-226 |
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| 作者姓名： | 周金海 胡必锦 |
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| 作者单位： | 芫湖师范专科学校数学系(周金海)，华中理工大学数学系(胡必锦) |
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| 基金项目： | 安徽省教委自然科学基金 |
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| 摘 要： | 引入ｌ２的凸集上凸函数具有一般性的上、下指数的定义，得到ｌ２的凸锥上共轭凸函数的上、下指数的共轭性，推广了ＬｏｎｇＲｉｎｌｉｎ和ＣＤｅｌａｃｈｅｒｉｅ的结果．
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| 关 键 词： | 凸锥；上、下指数；正齐次函数；共轭 |
CONJUGATE PROPERTIES OF EXPONENT OF CONVEX FUNCTION ON CONVEX CONE IN l 2 |
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| Zhou Jinhai ) Hu Binjin ) ). CONJUGATE PROPERTIES OF EXPONENT OF CONVEX FUNCTION ON CONVEX CONE IN l 2[J]. Journal of Ningxia University(Natural Science Edition), 1997, 18(3): 223-226 |
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| Authors: | Zhou Jinhai ) Hu Binjin ) ) |
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| Affiliation: | Zhou Jinhai 1) Hu Binjin 2) 1)Department of Mathematics,Wuhu Normal College,241008,Wuhu,China, 2)Department of Mathematics,Huazhong University of Science and Technology,430074,Wuhan,China |
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| Abstract: | The Complete conjugate properties concering the upper and lower exponents for mutual conjugate convex function on convex cone in l 2 have been presented. Hence, the extension of works by Long Rinlin and C Dellacherie are obtained. |
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| Keywords: | convex cone upper(sub) exponent positive homogeneous function conjugate |
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