1 citations · 1 across the 4 of their papers we have counts for
4 papers
Narrowing the gaps of the missing Blaschke-Santaló diagrams
Bernardo González Merino
We solve several new sharp inequalities relating three quantities amongst the area, perimeter, inradius, circumradius, diameter, and minimal width of planar convex bodies. As a con…
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…
Minkowski concentricity and complete simplices
René Brandenberg, Bernardo González Merino
This paper considers the radii functionals (circumradius, inradius, and diameter) as well as the Minkowski asymmetry for general (possibly non-symmetric) gauge bodies. A generaliza…
Hunting for reduced polytopes
Bernardo González Merino, Thomas Jahn, Gerd Wachsmuth
By correcting an example by Polyanskii, we show that there exist reduced polytopes in three-dimensional Euclidean space. This partially answers the question posed by Lassak on the…