On a linear refinement of the Prékopa-Leindler inequality

Andrea Colesanti, Eugenia Saorín Gómez, Jesús Yepes Nicolás

If $f,g:{\mathbb{R}}^n⟶{\mathbb{R}}_{\ge 0}$ are non-negative measurable functions, then the Prékopa-Leindler inequality asserts that the integral of the Asplund sum (pro…