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Inequalities for complex centroid bodies

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Abstract

Haberl [12] firstly introduced the notion of complex centroid body. Based on this concept, we establish some related inequalities containing Brunn–Minkowski type inequalities and monotonic inequalities. In addition, we also study its Shephard type problem.

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Acknowledgement

The authors want to express earnest thankfulness for the referees who provided extremely precious and helpful comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, China Three Gorges University, Yichang, 443002, China

    C. Li

  2. Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, 443002, China

    W. D. Wang

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  1. C. Li
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  2. W. D. Wang
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Correspondence to C. Li.

Additional information

Research was partially supported by the Natural Science Foundation of China (No. 11371224) and the Innovation Foundation of Graduate Student of China Three Gorges University (No. 2019SSPY146).

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Li, C., Wang, W.D. Inequalities for complex centroid bodies. Acta Math. Hungar. 161, 313–326 (2020). https://doi.org/10.1007/s10474-019-01009-1

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  • DOI: https://doi.org/10.1007/s10474-019-01009-1

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