| 体积差的等周不等式 |
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| 引用本文： | 赵长健.体积差的等周不等式[J].数学年刊A辑(中文版),2011,32(4):473-480. |
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| 作者姓名： | 赵长健 |
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| 作者单位： | 中国计量学院数学系; |
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| 基金项目： | 国家自然科学基金(No10971205)资助的项目 |
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| 摘 要： | 首次提出并建立了凸体的体积差函数的等周不等式,它是经典等周不等式的推广.作为应用,对星体建立了体积差函数的对偶等周不等式和广义对偶等周不等式.
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| 关 键 词： | 体积差函数 凸体 星体 等周不等式 对偶等周不等式 |
Isoperimetric Inequalities for Volume Differences |
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| ZHAO Changjian.Isoperimetric Inequalities for Volume Differences[J].Chinese Annals of Mathematics,2011,32(4):473-480. |
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| Authors: | ZHAO Changjian |
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| Institution: | ZHAO Changjian~1 1 Department of Mathematics,China Jiliang University,Hangzhou 310018,China. |
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| Abstract: | The author establishes some new isoperimetric inequalities for volume differences of convex bodies.As an application,the extended dual isoperimetric inequality for volume differences of star bodies is also established. |
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| Keywords: | Volume difference Convex body Star body Isoperimetric inequality Dual isoperimetric inequality |
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