Some extensions of the Prékopa–Leindler inequality using Borell’s stochastic approach
Volume 238 / 2017
Studia Mathematica 238 (2017), 201-233
MSC: Primary 39B62; Secondary 52A40, 60H30, 52A20.
DOI: 10.4064/sm8515-10-2016
Published online: 28 April 2017
Abstract
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.
