NDLI: A Characterization of all Loglinear Inequalities for Three Quermassintegrals of Convex Bodies

Content Provider	Scilit
Author	Gritzmann, Peter
Copyright Year	1988
Description	We give a complete characterization of all inequalities of the type , where is an arbitrary convex body of Euclidean -space, , denotes the th quermassintegral of and and are arbitrary reals. A special case of such inequalities is the classical isoperimetric inequality for the volume and surface area of convex bodies. It turns out that all nontrivial inequalities of this type can be generated by means of basic inequalities, the Fenchel-Alexandrov inequalities.
Related Links	http://www.ams.org/proc/1988-104-02/S0002-9939-1988-0962829-5/S0002-9939-1988-0962829-5.pdf
Ending Page	570
Page Count	8
Starting Page	563
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2047012
Journal	Proceedings of the American Mathematical Society
Issue Number	2
Volume Number	104
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Mathematical Physics Loglinear Inequalities Convex Bodies Characterization Quermassintegrals of Convex Inequalities for Three Quermassintegrals
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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A Characterization of all Loglinear Inequalities for Three Quermassintegrals of Convex Bodies