1 citations · 1 across the 8 of their papers we have counts for
16 papers · 1 filter
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…
From inequalities relating symmetrizations of convex bodies to the diameter-width ratio for complete and pseudo-complete convex sets
René Brandenberg, Katherina von Dichter, Bernardo González Merino
For a Minkowski centered convex compact set we define to be the smallest possible factor to cover by a rescalation of and give…
On diversities and finite dimensional Banach spaces
Bernardo González Merino
A diversity in is a function defined over every finite set of points of mapped onto , with the properties that if and only if and $δ(X\…
Tightening and reversing the arithmetic-harmonic mean inequality for symmetrizations of convex sets
René Brandenberg, Katherina von Dichter, Bernardo González Merino
This paper deals with four symmetrizations of a convex set : the intersection, the harmonic and the arithmetic mean, and the convex hull of and . A well-known result 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…
Large signed subset sums
Gergely Ambrus, Bernardo González Merino
We study the following question: for given , and , what is the largest value such that from any set of unit vectors in , w…