Inequalities of quermassintegrals about mixed Blaschke Minkowski homomorphisms

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Published: Sep 30, 2015
DOI: https://doi.org/10.5556/j.tkjm.46.2015.1689
Keywords:
mixed Blaschke-Minkowski homomorphisms quermassintegrals Minkowski inequality Brunn-Minkowski inequality

Main Article Content

Yibin Feng
Weidong Wang
Jun Yuan

Abstract

In this article, we establish some inequalities of quermassintegrals associated with mixed Blaschke Minkowski homomorphisms. In particular, Minkowski and Brunn-Minkowski type inequalities for quermassintegrals differences of mixed Blaschke Minkowski homomorphisms are established. In addition, we also give an isolated form of Brunn-Minkowski type inequality of quermassintegrals established by Schuster.

Article Details

How to Cite
Feng, Y., Wang, W., & Yuan, J. (2015). Inequalities of quermassintegrals about mixed Blaschke Minkowski homomorphisms. Tamkang Journal of Mathematics, 46(3), 217–227. https://doi.org/10.5556/j.tkjm.46.2015.1689
Issue
Vol. 46 No. 3 (2015)
Section
Papers
Author Biographies

Yibin Feng

School ofMathematics and Statistics, Hexi University, Zhangye, 734000, China.

Weidong Wang

Department ofMathematics, China Three Gorges University, Yichang, 443002, China.

Jun Yuan

School ofMathematics and Computer Science, Nanjing Xiaozhuang University, Nanjing, 211171, China.

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