The Brunn-Minkowski type inequalities for mixed brightness-integrals |
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| Authors: | Yanping Zhou Weidong Wang Yibin Feng |
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| Institution: | 1. Department of Mathematics, China Three Gorges University, Yichang, 443002, Hubei, China
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| Abstract: | The mixed brightness-integrals were defined by Li and Zhu. In this paper, we first establish two Brunn-Minkowski inequalities of the mixed brightness-integrals based on the Blaschke sum and Minkowski sum of convex bodies. Further, we also obtain the Beckenbach-Dresher type inequalities of the mixed brightness-integrals combining the harmonic Blaschke sum and the harmonic radial sum of star bodies. |
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| Keywords: | Brunn-Minkowski type inequalities mixed brightness-integrals mixed projection bodies |
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