2 citations · 4 across the 4 of their papers we have counts for
6 papers
Isoperimetric relations for inner parallel bodies
María A. Hernández Cifre, Eugenia Saorín Gómez
We analyze aspects of the behavior of the family of inner parallel bodies of a convex body for the isoperimetric quotient and deficit of arbitrary quermassintegrals. By means of te…
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,…
A characterization of dual quermassintegrals and the roots of dual steiner polynomials
David Alonso-Gutiérrez, Martin Henk, María A. Hernández Cifre
For any finite with , we provide a characterization of those tuples of positive numbers which are dual quermaßintegrals of two star bo…
On mean outer radii of random polytopes
David Alonso-Gutierrez, Nikos Dafnis, Maria A. Hernandez Cifre +1
In this paper we introduce a new sequence of quantities for random polytopes. Let $K_N=\conv\{X_1,...,X_N\}$ be a random polytope generated by independent random vectors uniformly…
The isodiametric problem with lattice-point constraints
M. A. Hernandez Cifre, A. Schuermann, F. Vallentin
In this paper, the isodiametric problem for centrally symmetric convex bodies in the Euclidean d-space R^d containing no interior non-zero point of a lattice L is studied. It is sh…
Notes on the roots of Steiner polynomials
Martin Henk, María A. Hernández Cifre
We study the location and the size of the roots of Steiner polynomials of convex bodies in the Minkowski relative geometry. Based on a problem of Teissier on the intersection numbe…