4 citations · 4 across the 9 of their papers we have counts for
3 papers · 1 filter
Random approximation of convex bodies in Hausdorff metric
Joscha Prochno, Carsten Schütt, Mathias Sonnleitner +1
While there is extensive literature on approximation, deterministic as well as random, of general convex bodies in the symmetric difference metric, or other metrics arising fro…
Weighted floating functions and weighted functional affine surface areas
Carsten Schütt, Christoph Thaele, Nicola Turchi +1
The purpose of this paper is to introduce the new concept of weighted floating functions associated with log concave or -concave functions. This leads to new notions of weighted…
Extremal affine surface areas in a functional setting
Stephanie Egler, Elisabeth M. Werner
We introduce extremal affine surface areas in a functional setting. We show their main properties. Among them are linear invariance, isoperimetric inequalities and monotonicity pro…