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.
Quantitative Borell-Brascamp-Lieb inequalities for power concave functions / Daria, Ghilli; Paolo, Salani. - In: JOURNAL OF CONVEX ANALYSIS. - ISSN 0944-6532. - STAMPA. - 24:(2017), pp. 857-888.
Quantitative Borell-Brascamp-Lieb inequalities for power concave functions
SALANI, PAOLO
2017
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.
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