Chinese Quarterly Journal of Mathematics ›› 2015, Vol. 30 ›› Issue (2): 199-205.doi: 10.13371/j.cnki.chin.q.j.m.2015.02.006

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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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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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