Minimal spherical shells and linear semi-infinite Optimization

by Juhnke, F.; Sarges, O.


Preprint series: 98-37, Preprints

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

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