23 citations · 101 across the 29 of their papers we have counts for
4 papers · 1 filter
On a normed version of a Rogers-Shephard type problem
Zsolt Lángi
A translation body of a convex body is the convex hull of two of its translates intersecting each other. In the 1950s, Rogers and Shephard found the extremal values, over the famil…
Semi-inner products and the concept of semi-polarity
Ákos G. Horváth, Zsolt Lángi, Margarita Spirova
The lack of an inner product structure in Banach spaces yields the motivation to introduce a semi-inner product with a more general axiom system, one missing the requirement for sy…
On the volume of the convex hull of two convex bodies
Ákos G. Horváth, Z. Lángi
In this note we examine the volume of the convex hull of two congruent copies of a convex body in Euclidean -space, under some subsets of the isometry group of the space. We pro…
The robustness of equilibria on convex solids
G. Domokos, Z. Lángi
We examine the minimal magnitude of perturbations necessary to change the number of static equilibrium points of a convex solid . We call the normalized volume of the minima…