7 papers
On a Brunn-Minkowski principle for first-order information functionals
Lidia Gordo Malagón, Eugenia Saorín Gómez, Jesús Yepes Nicolás
In this work we present the following general principle: every positive homogeneous functional on an abstract convex cone satisfying a suitable Brunn-Minkowski inequality gives ris…
On Brunn-Minkowski type inequalities for a general class of functionals
Lidia Gordo Malagón, Jesús Yepes Nicolás
In this work, the version (for ) of the dimensional Brunn-Minkowski inequality for the standard Gaussian measure on is shown. More precisely…
On Rogers-Shephard type inequalities for the lattice point enumerator
David Alonso-Gutiérrez, Eduardo Lucas, Jesús Yepes Nicolás
In this paper we study various Rogers-Shephard type inequalities for the lattice point enumerator on . In particular, for any non-empty convex…
Brunn-Minkowski type inequalities for the lattice point enumerator
David Iglesias, Jesús Yepes Nicolás, Artem Zvavitch
Geometric and functional Brunn-Minkowski type inequalities for the lattice point enumerator are provided. In particular, we show that $$\mathrm{G}_n((1-λ)K +…
On a reverse isoperimetric inequality for relative outer parallel bodies
Eugenia Saorín Gómez, Jesús Yepes Nicolás
We show a reverse isoperimetric inequality within the class of relative outer parallel bodies, with respect to a general convex body , along with its equality condition. Based o…
On Rogers-Shephard type inequalities for general measures
David Alonso-Gutiérrez, María A. Hernández Cifre, Michael Roysdon +2
In this paper we prove a series of Rogers-Shephard type inequalities for convex bodies when dealing with measures on the Euclidean space with either radially decreasing densities,…
Brunn-Minkowski inequalities in product metric measure spaces
Manuel Ritoré, Jesús Yepes Nicolás
Given one metric measure space satisfying a linear Brunn-Minkowski inequality, and a second one satisfying a Brunn-Minkowski inequality with exponent , we prove th…