Geodesic
On Brunn-Minkowski type inequality
Ji, Lewen 1 ; Zeng, Zhenbing 2 ; Zhong, Jingjing 3
1 Department of Mathematics, East China University of Technology, Nanchang 330013, China;Department of Mathematics, Shanghai University, Shanghai 200444,, China
2 Department of Mathematics, Shanghai University, Shanghai 200444,, China
3 School of Public Finance and Public Administration, Jiangxi University of Finance and Economics, Nanchang 330013, China
Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 6, p. 762-769.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.011.06.03
Classification : 52A20, 52A40
Keywords: Orlicz-Aleksandrov body, Brunn-Minkowski type inequality, Orlicz combination

Ji, Lewen  1 ; Zeng, Zhenbing  2 ; Zhong, Jingjing  3

1 Department of Mathematics, East China University of Technology, Nanchang 330013, China;Department of Mathematics, Shanghai University, Shanghai 200444,, China
2 Department of Mathematics, Shanghai University, Shanghai 200444,, China
3 School of Public Finance and Public Administration, Jiangxi University of Finance and Economics, Nanchang 330013, China 
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Ji, Lewen ; Zeng, Zhenbing ; Zhong, Jingjing . On Brunn-Minkowski type inequality. Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 6, p. 762-769. doi : 10.22436/jnsa.011.06.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.06.03/

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