1 citations · 1 across the 4 of their papers we have counts for
14 papers
Tight Stability Estimates Near the Simplex and Applications for the Banach-Mazur Distance and Rogers-Shephard-Type Inequalities
René Brandenberg, Bernardo González Merino, Florian Grundbacher
We establish a tight stability estimate for the Minkowski asymmetry near its maximal value, improving earlier results in both the range for the admissible error and the strength of…
On -Blaschke-Santaló diagrams with regular -gon gauges
René Brandenberg, Bernardo González Merino
We provide a study of Blaschke-Santaló diagrams for the inradius, diameter, and circumradius, measured with respect to different gauges. This contrasts previous works on those diag…
Stone-Weierstrass theorem for homogeneous polynomials and its role in convex geometry
Bernardo González Merino, Rafael Villa
We give a uniform approximation of the characteristic function of the boundary of a centrally symmetric n-dimensional compact and convex set by homogeneous polynomials of even degr…
An extension of Berwald's inequality and its relation to Zhang's inequality
David Alonso-Gutiérrez, Julio Bernués, Bernardo González Merino
In this note prove the following Berwald-type inequality, showing that for any integrable log-concave function and any concave function $h:L\ri…
On a generalization of the Hermite-Hadamard inequality and applications in convex geometry
Bernardo González Merino
In this paper we show the following result: if C is an n-dimensional 0-symmetric convex compact set, is concave, and is not identica…
On inscribed equilateral simplices in normed spaces
Bernardo González Merino
In this paper we prove in certain n-dimensional normed spaces X the existence of full-dimensional equilateral simplices of large size inscribed to the unit ball B. This extends the…