Abstract

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

Author information

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

Daria Ghilli

Dip. di Matematica, Università di Padova, Via Trieste 63, 35121 Padova, Italy

daria.ghilli@gmail.com

Paolo Salani

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

paolo.salani@unifi.it

Suggested citation

D. Ghilli, P. Salani. “Quantitative Borell-Brascamp-Lieb Inequalities for Power Concave Functions.” Journal of Convex Analysis 24 (2017), No. 3, 857–888. https://doi.org/10.68381/jca24051

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Published by Heldermann Verlag, 2017. Rights now held by Banach Press.