Quantitative Borell-Brascamp-Lieb Inequalities for Power Concave Functions
Journal of convex analysis, Tome 24 (2017) no. 3, pp. 857-888
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.
@article{JCA_2017_24_3_JCA_2017_24_3_a6,
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},
url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_3_JCA_2017_24_3_a6/}
}
TY - JOUR AU - D. Ghilli AU - P. Salani TI - Quantitative Borell-Brascamp-Lieb Inequalities for Power Concave Functions JO - Journal of convex analysis PY - 2017 SP - 857 EP - 888 VL - 24 IS - 3 UR - http://geodesic.mathdoc.fr/item/JCA_2017_24_3_JCA_2017_24_3_a6/ ID - JCA_2017_24_3_JCA_2017_24_3_a6 ER -
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/