Geodesic
Functional Inequalities Derived from the Brunn--Minkowski Inequalities for Quermassintegrals
Journal of convex analysis, Tome 17 (2010) no. 1, pp. 35-49.

Voir la notice de l'article provenant de la source Heldermann Verlag

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 n-dimensional Euclidean space. 
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     author = {A. Colesanti and E. Saor{\'\i}n G\'omez},
     title = {Functional {Inequalities} {Derived} from the {Brunn--Minkowski} {Inequalities} for {Quermassintegrals}},
     journal = {Journal of convex analysis},
     pages = {35--49},
     publisher = {mathdoc},
     volume = {17},
     number = {1},
     year = {2010},
     url = {http://geodesic.mathdoc.fr/item/JCA_2010_17_1_JCA_2010_17_1_a2/}
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A. Colesanti; E. Saorín Gómez. Functional Inequalities Derived from the Brunn--Minkowski Inequalities for Quermassintegrals. Journal of convex analysis, Tome 17 (2010) no. 1, pp. 35-49. http://geodesic.mathdoc.fr/item/JCA_2010_17_1_JCA_2010_17_1_a2/