3 citations · 3 across the 3 of their papers we have counts for
4 papers
A discrete approach to Zhang's projection inequality
David Alonso-Gutiérrez, Eduardo Lucas, Javier Martín Goñi
In this paper we will provide a new proof of the fact that for any convex body $$ \frac{{{2n}\choose{n}}}{n^n}n\int_0^\infty r^{n-1}\vol_n(K\cap(re_n+K))dr\leq\fra…
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…
On discrete Brunn-Minkowski type inequalities
María A. Hernández Cifre, Eduardo Lucas, Jesús Yepes Nicolás
Brunn-Minkowski type inequa\-li\-ties for the lattice point enumerator are shown, both in a geometrical and in a functional setting. In particular, we p…
Interpolating between volume and lattice point enumerator with successive minima
Ansgar Freyer, Eduardo Lucas
We study inequalities that simultaneously relate the number of lattice points, the volume and the successive minima of a convex body to one another. One main ingredient in order to…