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

Contact details are reproduced from the original publication and may be historical.

Andrea Colesanti

Dip. di Matematica 'U. Dini', Università di Firenze, Viale Morgagni 67/a, 50134 Firenze, Italy

colesant@math.unifi.it

Eugenia Saorín Gómez

Dep. de Matematicas, Universidad de Murcia, Campus de Espinardo, 30100 Murcia, Spain

esaorin@um.es

A. Colesanti, E. Saorín Gómez. “Functional Inequalities Derived from the Brunn--Minkowski Inequalities for Quermassintegrals.” Journal of Convex Analysis 17 (2010), No. 1, 35–49.