Quantitative Borell-Brascamp-Lieb Inequalities for Power Concave Functions
Journal of convex analysis, Tome 24 (2017) no. 3, pp. 857-888
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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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     author = {D. Ghilli and P. Salani},
     title = {Quantitative {Borell-Brascamp-Lieb} {Inequalities} for {Power} {Concave} {Functions}},
     journal = {Journal of convex analysis},
     pages = {857--888},
     year = {2017},
     volume = {24},
     number = {3},
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D. Ghilli; P. Salani. Quantitative Borell-Brascamp-Lieb Inequalities for Power Concave Functions. Journal of convex analysis, Tome 24 (2017) no. 3, pp. 857-888. http://geodesic.mathdoc.fr/item/JCA_2017_24_3_JCA_2017_24_3_a6/