Some Bonnesen-style Inequalities for Higher Dimensions 被引量：2

Some Bonnesen-style Inequalities for Higher Dimensions

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摘要 We discuss the higher dimensional Bonnesen-style inequalities. Though there are many Bonnesen-style inequalities for domains in the Euclidean plane R2 few results for general domain in Rn （n ≥ 3） are known. The results obtained in this paper are for general domains, convex or non-convex, in Rn. We discuss the higher dimensional Bonnesen-style inequalities. Though there are many Bonnesen-style inequalities for domains in the Euclidean plane R2 few results for general domain in Rn （n ≥ 3） are known. The results obtained in this paper are for general domains, convex or non-convex, in Rn.

作者 Jia Zu ZHOU Yan Hua DU Fei CHENG

机构地区 School of Mathematics and Statistics Southeast Guizhou Vocational College of Technology for Nationalities

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第12期2561-2568,共8页 数学学报（英文版）

基金 supported by National Natural Science Foundation of China (Grant No. 10971167)

关键词 Convex domain the isoperimetric deficit the isoperimetric inequality the Bonnesen-style inequality Convex domain, the isoperimetric deficit, the isoperimetric inequality, the Bonnesen-style inequality

分类号 O178 [理学—基础数学]

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参考文献1

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共引文献8

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同被引文献4

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Acta Mathematica Sinica,English Series

2012年第12期

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