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Dual Orlicz Mixed Affine Quermassintegrals

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Abstract

In this paper, a class of geometric quantities of star bodies via dual Orlicz mixed volumes are presented. It is proved that these geometric quantities are affine invariant and precisely the generalizations of their classical counterparts. Further, some related inequalities with respect to these geometric quantities are established.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, People’s Republic of China

    Yunwei Xia

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  1. Yunwei Xia
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Correspondence to Yunwei Xia.

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Supported by Fundamental Research Funds for the Central Universities (XDJK2017B017), National Science Foundation of China (No. 11271302), and China Scholarship Council (CSC 201406995086).

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Xia, Y. Dual Orlicz Mixed Affine Quermassintegrals. Results Math 72, 1683–1695 (2017). https://doi.org/10.1007/s00025-017-0730-4

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  • DOI: https://doi.org/10.1007/s00025-017-0730-4

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