Volume Difference Inequalities for the Polars of Mixed Complex Projection Bodies

Authors

  • Bo Han Department of Mathematics, China Three Gorges University, Yichang, Hubei, 443002
  • Yuan-Yuan Zhang Department of Mathematics, China Three Gorges University, Yichang, Hubei, 443002
  • Wei-Dong Wang Department of Mathematics, China Three Gorges University, Yichang, Hubei, 443002

DOI:

https://doi.org/10.13447/j.1674-5647.2019.02.06

Keywords:

mixed complex projection body, polar, volume difference, Brunn-Minkowski type inequality, Minkowski type inequality

Abstract

In this paper, based on the notion of mixed complex projection and generalized the recent works of other authors, we obtain some volume difference inequalities containing Brunn-Minkowski type inequality, Minkowski type inequality and Aleksandrov-Fenchel inequality for the polars of mixed complex projection bodies. 

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Published

2019-12-16

Issue

Vol. 35 No. 2 (2019)

Section

Articles