Some Bonnesen-style inequalities for higher dimensions |
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| Authors: | Jia Zu Zhou Yan Hua Du Fei Cheng |
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| Institution: | 1. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, P. R. China
2. Southeast Guizhou Vocational College of Technology for Nationalities, Kaili, 556000, P. R. China
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| Abstract: | We discuss the higher dimensional Bonnesen-style inequalities. Though there are many Bonnesen-style inequalities for domains in the Euclidean plane ?2 few results for general domain in ? n (n ≥ 3) are known. The results obtained in this paper are for general domains, convex or non-convex, in ? n . |
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| Keywords: | Convex domain the isoperimetric deficit the isoperimetric inequality the Bonnesen-style inequality |
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