Journal of convex analysis, Tome 17 (2010) no. 1, pp. 35-49
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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/
@article{JCA_2010_17_1_JCA_2010_17_1_a2,
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},
year = {2010},
volume = {17},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JCA_2010_17_1_JCA_2010_17_1_a2/}
}
TY - JOUR
AU - A. Colesanti
AU - E. Saorín Gómez
TI - Functional Inequalities Derived from the Brunn--Minkowski Inequalities for Quermassintegrals
JO - Journal of convex analysis
PY - 2010
SP - 35
EP - 49
VL - 17
IS - 1
UR - http://geodesic.mathdoc.fr/item/JCA_2010_17_1_JCA_2010_17_1_a2/
ID - JCA_2010_17_1_JCA_2010_17_1_a2
ER -
%0 Journal Article
%A A. Colesanti
%A E. Saorín Gómez
%T Functional Inequalities Derived from the Brunn--Minkowski Inequalities for Quermassintegrals
%J Journal of convex analysis
%D 2010
%P 35-49
%V 17
%N 1
%U http://geodesic.mathdoc.fr/item/JCA_2010_17_1_JCA_2010_17_1_a2/
%F JCA_2010_17_1_JCA_2010_17_1_a2
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.
