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| 欧氏空间R3中的几个Bonnesen型不等式 |
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罗淼,陈方维,胡娟
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1. 贵州师范大学数学与计算机科学学院,贵州,贵阳,550001
2. 贵州财经学院数学与统计分院,贵州,贵阳,550001
3. 贵州师范大学地理与环境科学学院,贵州,贵阳,550001
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| 摘要: |
| 本文研究欧氏空间R3中关于一个凸体的Bonnesen型不等式.利用包含测度的方法,获得了几个Bonnesen型不等式. |
| 关键词: 平均曲率积分 均质积分 Bonnesen型不等式 |
| DOI： |
| 分类号:O186.5 |
| 基金项目:Supported by Guizhou Foundation of Science and Technology(LKS[2009]19) |
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| SOME BONNESEN-TYPE INEQUALITIES IN THE EUCLIDEAN SPACE R3 |
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LUO Miao,CHEN Fang-wei,HU Juan
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LUO Miao~(1,a),CHEN Fang-wei~2,HU Juan~(1,b) (1.a.School of Math.and Computer Science,b.School of Geography and Environment Science,Guizhou Normal University,Guiyang 550001,China) (2.School of Math.and Statistics,Guizhou College of Finance and Economics,China)
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| Abstract: |
| In this article,we study the Bonnesen-type inequalities of a convex surface bounding a convex body in the Euclidean R3.By containment measure method,we obtain some Bonnesentype inequalities for a convex surface. |
| Key words: integral of mean curvature Minkowski quermassintegral Bonnesen-type inequality |
