SHARPENING GEOMETRIC INEQUALITIES USING COMPUTABLE SYMMETRY MEASURES
نویسندگان
چکیده
منابع مشابه
Sharpening Geometric Inequalities using Computable Symmetry Measures
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 co...
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ژورنال
عنوان ژورنال: Mathematika
سال: 2014
ISSN: 0025-5793,2041-7942
DOI: 10.1112/s0025579314000291