Zurück zu den Preprints des Jahres 1998


1998-37

Minimal spherical shells and linear semi-infinite Optimization

by Juhnke, F., Sarges, O..


Series: 1998-37, Preprints

MSC:
52A40 Inequalities and extremum problems
90C34 Semi-infinite programming

Abstract:
In this paper we prove some characterizing properties of the
minimal shell of a convex body by means of linear
semi-infinite optimization.
Further we present a representation of the optimal solution
of the corresponding optimization problem in dependence
of the values of the support function of certain points
of contact of the convex body and ist minimal shell.

Keywords:
linear semi-infinite optimization, minimal shell, convex bodies