6 citations · 9 across the 14 of their papers we have counts for
12 papers · 1 filter
A discrete approach to the functional Zhang's projection inequality
David Alonso-Gutiérrez, Julia Sánchez-Loscertales
In this paper, we focus our attention on the following inequality, which holds for any integrable log-concave function with positive integral , and gives an inclusion between th…
On Sections of Convex Bodies in John's Position and of Generalised Balls
David Alonso-Gutiérrez, Silouanos Brazitikos, Giorgos Chasapis
We revisit an ingenious argument of K. Ball to provide sharp estimates for the volume of sections of a convex body in John's position. Our technique combines the geometric Brascamp…
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…
Sections of convex bodies in John's and minimal surface area position
David Alonso-Gutiérrez, Silouanos Brazitikos
We prove several estimates for the volume, mean width, and the value of the Wills functional of sections of convex bodies in John's position, as well as for their polar bodies. The…
Reverse Loomis-Whitney inequalities via isotropicity
David Alonso-Gutiérrez, Silouanos Brazitikos
Given a centered convex body , we study the optimal value of the constant such that there exists an orthonormal basis for whi…
Further inequalities for the (generalized) Wills functional
David Alonso-Gutiérrez, María A. Hernández Cifre, Jesús Yepes Nicolás
The Wills functional of a convex body , defined as the sum of its intrinsic volumes , turns out to have many interesting applications and prope…