| Inequalities of Hadamard Type for r-Convex Functions in Carnot Groups |
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| 作者姓名： | Ming-baoSun Xiao-pingYang |
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| 作者单位： | 1，2 |
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| 基金项目： | Supported in part by SF for Pure Research of Natural Sciences of the Education Department of Hunan Province (No.2000c315)，NNSF (No.10271071) and specialized Research Fund for Doctoral Program of Higher Education of China |
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| 摘 要： | For a Carnot group G,we establish the relationship between extended mean values and r-convexfunctions which is introduced in this paper,which is a class of inequalities of Hadamard type for r-convexfunction on G.
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| 关 键 词： | 曲面函数 广义不等式 分层 幂 矢量 |
| 收稿时间： | 28 February 2003 |
Inequalities of Hadamard Type for r-Convex Functions in Carnot Groups |
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| Ming-baoSun Xiao-pingYang.Inequalities of Hadamard Type for r-Convex Functions in Carnot Groups[J].Acta Mathematicae Applicatae Sinica,2004,20(1):123-132. |
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| Authors: | Email author" target="_blank">Ming-bao?SunEmail author Xiao-ping?Yang |
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| Institution: | (1) Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, China;(2) Department of Applied Mathematics, Hunan Institute of Science and Technology, Yueyang 414000, Hunan, China |
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| Abstract: | For a Carnot group G,we establish the relationship between extended mean values and r-convexfunctions which is introduced in this paper,which is a class of inequalities of Hadamard type for r-convexfunction on G. |
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| Keywords: | r-convex function extended mean values Carnot group inequality |
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