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ROGERS AND SHEPHARD INEQUALITY FOR THE ORLICZ DIFFERENCE BODY.

Authors :
FANGWEI CHEN
WENXUE XU
CONGLI YANG
Source :
Proceedings of the American Mathematical Society; Sep2015, Vol. 143 Issue 9, p4029-4039, 11p
Publication Year :
2015

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
MATHEMATICAL inequalities
CONVEX domains
CONVEX functions
ORLICZ spaces
GEOMETRIC modeling

Details

Language :
English
ISSN :
00029939
Volume :
143
Issue :
9
Database :
Complementary Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
103456611
Full Text :
https://doi.org/10.1090/proc12720
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