2 papers
math.MG2020
On the monotonicity of the isoperimetric quotient for parallel bodies
Christian Richter, Eugenia Saorín Gómez
The isoperimetric quotient of the whole family of inner and outer parallel bodies of a convex body is shown to be decreasing in the parameter of definition of parallel bodies, alon…
math.FA2015
On a linear refinement of the Prékopa-Leindler inequality
Andrea Colesanti, Eugenia Saorín Gómez, Jesús Yepes Nicolás
If are non-negative measurable functions, then the Prékopa-Leindler inequality asserts that the integral of the Asplund sum (pro…