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Document type:
Zeitschriftenaufsatz 
Author(s):
Brandenberg, R. and S. König 
Title:
Sharpening Geometric Inequalities using Computable Symmetry Measures 
Abstract:
Many classical geometric inequalities on functionals of convex bodies depend on the dimension of the ambient space. We show that this dimension dependence may often be replaced (totally or partially) by different symmetry measures of the convex body. Since these coefficients are bounded by the dimension but possibly smaller, our inequalities sharpen the original ones. Since they can often be computed efficiently, the improved bounds may also be used to obtain better bounds in approximation algor...    »
 
Journal title:
Mathematika 
Year:
2015 
Journal issue:
61 
Pages contribution:
559-580 
Reviewed:
ja 
Language:
en 
TUM Institution:
Lehrstuhl für Angewandte Geometrie und Diskrete Mathematik