Rogers and Shephard inequality for the Orlicz difference body
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- by Fangwei Chen, Wenxue Xu and Congli Yang PDF
- Proc. Amer. Math. Soc. 143 (2015), 4029-4039 Request permission
Abstract:
The inequalities involving the volume of convex bodies play an important role in convex geometry. In this paper, the Rogers and Shephard inequality for the Orlicz difference body of a convex body in the two-dimensional case is established.References
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Additional Information
- Fangwei Chen
- Affiliation: Department of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou 550004, People’s Republic of China
- MR Author ID: 763926
- Email: cfw-yy@126.com, chen.fangwei@yahoo.com
- Wenxue Xu
- Affiliation: School of Mathematics and Statistics, Southwest University, Chongqing 400715, People’s Republic of China
- MR Author ID: 878656
- Email: xwxjk@163.com
- Congli Yang
- Affiliation: School of Mathematics and Computer Science, Guizhou Normal University, Guiyang, Guizhou 550001, People’s Republic of China
- MR Author ID: 924298
- Email: yangcongli@gznu.edu.cn
- Received by editor(s): September 28, 2012
- Published electronically: May 26, 2015
- Additional Notes: The work was supported in part by CNSF (Grant No. 11161007, Grant No. 11101099, Grant No. 11401486), West Light Foundation of the Chinese Academy of Sciences, Guizhou Foundation for Science and Technology (Grant No. [2014]2044, Grant No. [2012]2273), Guizhou Technology Foundation for Selected Overseas Chinese Scholar and Doctor foundation of Guizhou Normal University.
- Communicated by: Michael Wolf
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 4029-4039
- MSC (2010): Primary 52A20, 52A40, 52A38, 52A39
- DOI: https://doi.org/10.1090/proc12720
- MathSciNet review: 3359591