Functional inequalities derived from the Brunn-Minkowski inequalities for quermassintegrals

Details Functional inequalities derived from the Brunn-Minkowski inequalities for quermassintegrals Functional inequalities derived from the Brunn-Minkowski inequalities for quermassintegrals

2008-04-24

arxiv.org/abs/0804.3867v1

Mathematics

Functional Analysis

15 pages

Scientific paper

We use Brunn-Minkowski inequalities for quermassintegrals to deduce a family
of inequalities of Poincar\'e type on the unit sphere and on the boundary of
smooth convex bodies in the $n$-dimensional Euclidean space.

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