数学季刊 ›› 2015, Vol. 30 ›› Issue (2): 199-205.doi: 10.13371/j.cnki.chin.q.j.m.2015.02.006

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关于对偶均质积分的Dresher型不等式

  

  1. Department of Mathematics, China Three Gorges University
  • 收稿日期:2013-05-23 出版日期:2015-06-30 发布日期:2020-11-23
  • 作者简介:WANG Wei-dong(1959-), male, native of Badong, Hubei, a professor of China Three Gorges University, Ph.D., engages in convex geometric analysis.
  • 基金资助:
    Supported by the National Natural Science Foundation of China(11371224)； Supported by the Master Thesis Foundation of China Three Gorges University(2013PY069)；

Dresher's Type Inequalities for Dual Quermassintegral

  1. Department of Mathematics, China Three Gorges University
  • Received:2013-05-23 Online:2015-06-30 Published:2020-11-23
  • About author:WANG Wei-dong(1959-), male, native of Badong, Hubei, a professor of China Three Gorges University, Ph.D., engages in convex geometric analysis.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11371224)； Supported by the Master Thesis Foundation of China Three Gorges University(2013PY069)；

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摘要： In this paper, we establish two Dresher’s type inequalities for dual quermassintegral with Lp-radial Minkowski linear combination and Lp-harmonic Blaschke linear combination, respectively. Our results in special cases yield some new dual Lp-Brunn-Minkowski inequalities for dual quermassintegral. 

关键词: star bodies, Dresher's inequality, Lp-Brunn-Minkowski inequality

Abstract: In this paper, we establish two Dresher’s type inequalities for dual quermassintegral with Lp-radial Minkowski linear combination and Lp-harmonic Blaschke linear combination, respectively. Our results in special cases yield some new dual Lp-Brunn-Minkowski inequalities for dual quermassintegral. 

Key words: star bodies, Dresher's inequality, Lp-Brunn-Minkowski inequality

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