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Inequalities for polars of mixed projection bodies

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Abstract

In 1993 Lutwak established some analogs of the Brunn-Minkowsi inequality and the Aleksandrov-Fenchel inequality for mixed projection bodies. In this paper, following Lutwak, we give their polars forms. Further, as applications of our methods, we give a generalization of Pythagorean inequality for mixed volumes.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai University, 200436, Shanghai, China

    Gangsong Leng, Changjian Zhao, Binwu He & Xiaoyan Li

  2. Department of Mathematics, Binzhou Teachers College, 256604, Binzhou, China

    Changjian Zhao

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  1. Gangsong Leng
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  2. Changjian Zhao
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  3. Binwu He
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  4. Xiaoyan Li
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Correspondence to Gangsong Leng.

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Leng, G., Zhao, C., He, B. et al. Inequalities for polars of mixed projection bodies. Sci. China Ser. A-Math. 47, 175–186 (2004). https://doi.org/10.1360/02ys0350

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  • DOI: https://doi.org/10.1360/02ys0350

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