Geodesic
Some extensions of the Prékopa–Leindler inequality using Borell’s stochastic approach
Dario Cordero-Erausquin 1   ; Bernard Maurey 1
1 Institut de Mathématiques de Jussieu-PRG UPMC (Paris 6) F-75252 Paris Cedex 05, France
Studia Mathematica, Tome 238 (2017) no. 3, pp. 201-233 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We present an abstract form of the Prékopa–Leindler inequality that includes several known—and a few new—related functional inequalities on Euclidean spaces. The method of proof and also the formulation of the new inequalities are based on Christer Borell’s stochastic approach to Brunn–Minkowski type inequalities.
DOI : 10.4064/sm8515-10-2016
Keywords: present abstract form kopa leindler inequality includes several known few related functional inequalities euclidean spaces method proof formulation inequalities based christer borell stochastic approach brunn minkowski type inequalities

Dario Cordero-Erausquin  1   ; Bernard Maurey  1

1 Institut de Mathématiques de Jussieu-PRG UPMC (Paris 6) F-75252 Paris Cedex 05, France 
@article{10_4064_sm8515_10_2016,
     author = {Dario Cordero-Erausquin and Bernard Maurey},
     title = {Some extensions of the {Pr\'ekopa{\textendash}Leindler} inequality using {Borell{\textquoteright}s} stochastic approach},
     journal = {Studia Mathematica},
     pages = {201--233},
     year = {2017},
     volume = {238},
     number = {3},
     doi = {10.4064/sm8515-10-2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm8515-10-2016/}
}
TY  - JOUR
AU  - Dario Cordero-Erausquin
AU  - Bernard Maurey
TI  - Some extensions of the Prékopa–Leindler inequality using Borell’s stochastic approach
JO  - Studia Mathematica
PY  - 2017
SP  - 201
EP  - 233
VL  - 238
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm8515-10-2016/
DO  - 10.4064/sm8515-10-2016
LA  - en
ID  - 10_4064_sm8515_10_2016
ER  - 
%0 Journal Article
%A Dario Cordero-Erausquin
%A Bernard Maurey
%T Some extensions of the Prékopa–Leindler inequality using Borell’s stochastic approach
%J Studia Mathematica
%D 2017
%P 201-233
%V 238
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/sm8515-10-2016/
%R 10.4064/sm8515-10-2016
%G en
%F 10_4064_sm8515_10_2016
Dario Cordero-Erausquin; Bernard Maurey. Some extensions of the Prékopa–Leindler inequality using Borell’s stochastic approach. Studia Mathematica, Tome 238 (2017) no. 3, pp. 201-233. doi: 10.4064/sm8515-10-2016

Cité par Sources :