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Journal of Convex Analysis 24 (2017), No. 3, 857--888
Copyright Heldermann Verlag 2017



Quantitative Borell-Brascamp-Lieb Inequalities for Power Concave Functions

Daria Ghilli
Dip. di Matematica, UniversitÓ di Padova, Via Trieste 63, 35121 Padova, Italy
daria.ghilli@gmail.com

Paolo Salani
Dip. di Matematica, UniversitÓ di Firenze, Viale Morgagni 67/a, 50134 Firenze, Italy
paolo.salani@unifi.it



We strengthen, in two different ways, the so called Borell-Brascamp-Lieb inequality in the class of power concave functions. As examples of applications we obtain two quantitative versions of the Brunn-Minkowski inequality and of the Urysohn inequality for torsional rigidity.

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