On Brunn-Minkowski type inequality

Volume 11, Issue 6, pp 762--769 http://dx.doi.org/10.22436/jnsa.011.06.03
Publication Date: April 18, 2018 Submission Date: December 01, 2016 Revision Date: November 15, 2017 Accteptance Date: March 01, 2018

Authors

Lewen Ji - Department of Mathematics, East China University of Technology, Nanchang 330013, China. - Department of Mathematics, Shanghai University, Shanghai 200444,, China. Zhenbing Zeng - Department of Mathematics, Shanghai University, Shanghai 200444,, China. Jingjing Zhong - School of Public Finance and Public Administration, Jiangxi University of Finance and Economics, Nanchang 330013, China.


Abstract

The notion of Aleksandrov body in the classical Brunn-Minkowski theory is extended to that of Orlicz-Aleksandrov body in the Orlicz Brunn-Minkowski theory. The analogs of the Brunn-Minkowski type inequality and the first variations of volume are established via Orlicz-Aleksandrov body. We also make some considerations for the polar of Orlicz combination.


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
ISRP Style

Lewen Ji, Zhenbing Zeng, Jingjing Zhong, On Brunn-Minkowski type inequality, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 6, 762--769

AMA Style

Ji Lewen, Zeng Zhenbing, Zhong Jingjing, On Brunn-Minkowski type inequality. J. Nonlinear Sci. Appl. (2018); 11(6):762--769

Chicago/Turabian Style

Ji, Lewen, Zeng, Zhenbing, Zhong, Jingjing. "On Brunn-Minkowski type inequality." Journal of Nonlinear Sciences and Applications, 11, no. 6 (2018): 762--769


Keywords


MSC


References