We use the Brunn-Minkowski inequality for quermassintegrals to deduce a family of inequalities of Pincare' type on the unit sphere and on the boundary of smooth convex bodies, in the n-dimensional Euclidean space.
Functional inequalities derived from the Brunn-Minkowski inequality for quermassintegrals / A. COLESANTI; E. SAORIN-GOMEZ. - In: JOURNAL OF CONVEX ANALYSIS. - ISSN 0944-6532. - STAMPA. - 17:(2010), pp. 35-49.
Functional inequalities derived from the Brunn-Minkowski inequality for quermassintegrals
COLESANTI, ANDREA;
2010
Abstract
We use the Brunn-Minkowski inequality for quermassintegrals to deduce a family of inequalities of Pincare' type on the unit sphere and on the boundary of smooth convex bodies, in the n-dimensional Euclidean space.
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