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Brunn-Minkowski and Zhang inequalities for Convolution Bodies

Authors
  • Alonso-Gutierrez, David
  • Jimenez, C. Hugo
  • Villa, Rafael
Type
Preprint
Publication Date
Feb 11, 2013
Submission Date
Dec 20, 2011
Identifiers
arXiv ID: 1112.4757
Source
arXiv
License
Yellow
External links

Abstract

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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