Brunn-Minkowski inequality

Let A and B be non-empty compact subsets of d. Then


where A+B denotes the Minkowski sum of A and B, and vol(S) denotes the volume of S.


  • 1 Jiří Matoušek. Lectures on Discrete Geometry, volume 212 of GTM. Springer, 2002. 0999.52006.
Title Brunn-Minkowski inequalityMathworldPlanetmath
Canonical name BrunnMinkowskiInequality
Date of creation 2013-03-22 13:58:20
Last modified on 2013-03-22 13:58:20
Owner bbukh (348)
Last modified by bbukh (348)
Numerical id 7
Author bbukh (348)
Entry type Theorem
Classification msc 51M16