MIXED BRIGHTNESS-INTEGRALS OF CONVEX BODIES

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 ine...

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Bibliographic Details
Published inJournal of the Korean Mathematical Society Vol. 47; no. 5; pp. 935 - 945
Main Authors Li, Ni, Zhu, Baocheng
Format Journal Article
LanguageKorean
Published 2010
Subjects
mixed brightness-integrals
mixed projection bodies
convex bodies
brightness
Fenchel-Aleksandrov inequality
mixed brightness
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Summary: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.
Bibliography:KISTI1.1003/JNL.JAKO201025240674853
ISSN:0304-9914