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http://dx.doi.org/10.4134/JKMS.2010.47.5.935

MIXED BRIGHTNESS-INTEGRALS OF CONVEX BODIES  

Li, Ni (COLLEGE OF MATHEMATICS AND COMPUTER SCIENCE CHONGQING NORMAL UNIVERSITY)
Zhu, Baocheng (COLLEGE OF MATHEMATICS AND COMPUTER SCIENCE CHONGQING NORMAL UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.47, no.5, 2010 , pp. 935-945 More about this Journal
Abstract
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.
Keywords
convex bodies; mixed projection bodies; brightness; mixed brightness; mixed brightness-integrals; Fenchel-Aleksandrov inequality;
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