Mixed brightness-integrals of convex bodies

Ni Li Hubei University for Nationalities Baocheng Zhu Hubei University for Nationalities

Convex and Discrete Geometry mathscidoc:1703.40041

The mixed width-integrals of convex bodies are defined by E. Lutwak. In this paper, the mixed brightness-integrals of convex bodies are defined. An inequality is established for the mixed brightness-integrals analogous to the Fenchel-Aleksandrov inequality for the mixed volumes. An isoperimetric inequality (involving the mixed brightness-integrals) is presented which generalizes an inequality recently obtained by Chakerian and Heil. Strengthened version of this general inequality is obtained by introducing indexed mixed brightness-integrals.
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  title={Mixed brightness-integrals of convex bodies},
  author={Ni Li, and Baocheng Zhu},
Ni Li, and Baocheng Zhu. Mixed brightness-integrals of convex bodies. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170322012706490855726.
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