Convex Sets and Minimal Sublinear Functions
Metric Geometry
2017-01-24 v1 Optimization and Control
Abstract
We show that, given a closed convex set containing the origin in its interior, the support function of the set is the pointwise smallest among all sublinear functions such that .
Cite
@article{arxiv.1701.06550,
title = {Convex Sets and Minimal Sublinear Functions},
author = {Amitabh Basu and Gerard Cornuejols and Giacomo Zambelli},
journal= {arXiv preprint arXiv:1701.06550},
year = {2017}
}