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Wuhan University Journal of Natural Sciences

, Volume 23, Issue 6, pp 465–470 | Cite as

On the Dual p-Measures of Asymmetry for Star Bodies

  • Xing Huang
  • Huawei Zhu
  • Qi Guo
Article
  • 25 Downloads

Abstract

Recently, the connection between p-measures of asymmetry and the Lp -mixed volumes for convex bodies was found soon after the p-measure of asymmetry was proposed, and the Orlicz-measures of asymmetry was proposed inspired by such a kind of connection. In this paper, by a similar way the dual p -measures of asymmetry for star bodies (naturally for convex bodies) is introduced first. Then the connection between dual p -measures of asymmetry and Lp -dual mixed volumes is established. Finally, the best lower and upper bounds of dual p-measures and the corresponding extremal bodies are discussed.

Key words

convex body dual p-measures of asymmetry Lp -dual mixed volumes 

CLC number

O 186.5 

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Copyright information

© Wuhan University and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mathematics and Information ScienceGuangzhou UniversityGuangzhou, GuangdongChina
  2. 2.Academy for Intelligent SoftwareGuangzhou UniversityGuangzhou, GuangdongChina
  3. 3.Guangdong Provincial Engineering and Technology Research Center for Mathematical Education SoftwareGuangzhou UniversityGuangzhou, GuangdongChina
  4. 4.Institute of Mathematics and Computer ScienceGuizhou Normal CollegeGuiyang, GuizhouChina
  5. 5.Department of MathematicsSuzhou University of Science and TechnologySuzhou, JiangsuChina

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