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arxiv: 0804.3867 · v1 · submitted 2008-04-24 · 🧮 math.FA · math.MG

Functional inequalities derived from the Brunn-Minkowski inequalities for quermassintegrals

classification 🧮 math.FA math.MG
keywords inequalitiesbrunn-minkowskiquermassintegralsbodiesboundaryconvexdeducederived
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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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