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Some Bonnesen-style inequalities for higher dimensions

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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 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.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, P. R. China

    Jia Zu Zhou, Yan Hua Du & Fei Cheng

  2. Southeast Guizhou Vocational College of Technology for Nationalities, Kaili, 556000, P. R. China

    Jia Zu Zhou

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  1. Jia Zu Zhou
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  2. Yan Hua Du
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  3. Fei Cheng
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Correspondence to Jia Zu Zhou.

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The first author is supported by National Natural Science Foundation of China (Grant No. 10971167)

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Zhou, J.Z., Du, Y.H. & Cheng, F. Some Bonnesen-style inequalities for higher dimensions. Acta. Math. Sin.-English Ser. 28, 2561–2568 (2012). https://doi.org/10.1007/s10114-012-9657-6

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  • DOI: https://doi.org/10.1007/s10114-012-9657-6

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