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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

Paolo Salani
Dip. di Matematica, UniversitÓ di Firenze, Viale Morgagni 67/a, 50134 Firenze, Italy

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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