Inequalities for mixed projection bodies

Lutwak, Erwin

doi:10.1090/S0002-9947-1993-1124171-8

Inequalities for mixed projection bodies
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Trans. Amer. Math. Soc. 339 (1993), 901-916 Request permission

Abstract:

Mixed projection bodies are related to ordinary projection bodies (zonoids) in the same way that mixed volumes are related to ordinary volume. Analogs of the classical inequalities from the Brunn-Minkowski Theory (such as the Minkowski, Brunn-Minkowski, and Aleksandrov-Fenchel inequalities) are developed for projection and mixed projection bodies.

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