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Orlicz Dual Mixed Volumes

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Abstract

In the paper, we introduce Orlicz dual mixed volumes, and inequalities of Brunn–Minkowski type are obtained for Orlicz dual mixed volumes. The new Orlicz dual Brunn–Minkowski inequality implies the L p -dual Brunn–Minkowski inequality. A new Orlicz dual Minkowski inequality is obtained that generalizes the L p -dual Minkowski inequality.

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Authors and Affiliations

  1. Department of Mathematics, China Jiliang University, Hangzhou, 310018, People’s Republic of China

    Chang-Jian Zhao

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  1. Chang-Jian Zhao
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Correspondence to Chang-Jian Zhao.

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Research is supported by National Natural Science Foundation of China (11371334).

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Zhao, CJ. Orlicz Dual Mixed Volumes. Results. Math. 68, 93–104 (2015). https://doi.org/10.1007/s00025-014-0424-0

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  • DOI: https://doi.org/10.1007/s00025-014-0424-0

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