MIXED BRIGHTNESS-INTEGRALS OF CONVEX BODIES
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 inequality (involving the mixed brightness-integrals) is presented which generalizes …