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On reverses of the L p -Busemann-Petty centroid inequality and its applications

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Wuhan University Journal of Natural Sciences

Abstract

In this paper, the reverse forms of the L p -Busemann-Petty centroid inequality are shown. As the applications of the reverse forms, we obtain the reverse forms of the L p -centroid-affine inequality and an upper bound of the isotropic constant for convex bodies.

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Authors and Affiliations

  1. Department of Mathematics, China Three Gorges University, Yichang, 443002, Hubei, China

    Weidong Wang

  2. Department of Mathematics, Hubei University for Nationalities, Enshi, 445000, Hubei, China

    Weidong Wang

Authors
  1. Weidong Wang
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Correspondence to Weidong Wang.

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Foundation item: Supported by the National Natural Science Foundation of China (10671117), Academic Mainstay Foundation of Hubei Provincial Department of Education (D200729002) and Science Foundation of China Three Gorges University

Biography: WANG Weidong, male, Professor, Ph. D., research direction: geometric analysis and its applications.

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Wang, W. On reverses of the L p -Busemann-Petty centroid inequality and its applications. Wuhan Univ. J. Nat. Sci. 15, 292–296 (2010). https://doi.org/10.1007/s11859-010-0654-2

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  • DOI: https://doi.org/10.1007/s11859-010-0654-2

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