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Inequalities for mixed projection bodies


Author: Erwin Lutwak
Journal: Trans. Amer. Math. Soc. 339 (1993), 901-916
MSC: Primary 52A39; Secondary 52A40
DOI: https://doi.org/10.1090/S0002-9947-1993-1124171-8
MathSciNet review: 1124171
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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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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1993-1124171-8
Keywords: Zonoids, projection bodies, mixed volumes
Article copyright: © Copyright 1993 American Mathematical Society

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