Brunn-minkowski and zhang inequalities for convolution bodies

Details Brunn-minkowski and zhang inequalities for convolution bodies Brunn-minkowski and zhang inequalities for convolution bodies

2011-12-20

arxiv.org/abs/1112.4757v1

Mathematics

Functional Analysis

16 pages

Scientific paper

A quantitative version of Minkowski sum, extending the definition of
$\theta$-convolution of convex bodies, is studied to obtain extensions of the
Brunn-Minkowski and Zhang inequalities, as well as, other interesting
properties on Convex Geometry involving convolution bodies or polar projection
bodies. The extension of this new version to more than two sets is also given.

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