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math.FA2008★ 13 cited
Functional inequalities derived from the Brunn-Minkowski inequalities for quermassintegrals
Andrea Colesanti, Eugenia Saorin-Gomez
We use Brunn-Minkowski inequalities for quermassintegrals to deduce a family of inequalities of Poincaré type on the unit sphere and on the boundary of smooth convex bodies in the…
math.FA2007★ 5 cited
From the Brunn-Minkowski inequality to a class of Poincaré type inequalities
Andrea Colesanti
We present an argument which leads from the Brunn-Minkowski inequality to a Poincare' type inequality on the boundary of convex bodies with smooth boundary and positive Gauss curva…