A new proof of the Orlicz Busemann-Petty centroid inequality
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- by Ai-Jun Li and Gangsong Leng PDF
- Proc. Amer. Math. Soc. 139 (2011), 1473-1481 Request permission
Abstract:
Using shadow systems, we provide a new proof of the Orlicz Busemann-Petty centroid inequality, which was first obtained by Lutwak, Yang and Zhang.References
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Additional Information
- Ai-Jun Li
- Affiliation: Department of Mathematics, Shanghai University, Shanghai 200444, People’s Republic of China – and – School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo City, 454000, People’s Republic of China
- MR Author ID: 790015
- Email: liaijun72@163.com
- Gangsong Leng
- Affiliation: Department of Mathematics, Shanghai University, Shanghai 200444, People’s Republic of China
- MR Author ID: 323352
- Email: gleng@staff.shu.edu.cn
- Received by editor(s): February 16, 2010
- Received by editor(s) in revised form: April 27, 2010
- Published electronically: September 30, 2010
- Additional Notes: The authors would like to acknowledge the support from the National Natural Science Foundation of China (10971128), Shanghai Leading Academic Discipline Project (S30104), Scientific Research and Innovation Project of Shanghai Municipal Education Commission (09ZZ94) and Innovation Foundation of Shanghai University (SHUCX080134)
- Communicated by: Mario Bonk
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 1473-1481
- MSC (2000): Primary 52A20, 52A40
- DOI: https://doi.org/10.1090/S0002-9939-2010-10651-2
- MathSciNet review: 2748442