| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8906029 | Indagationes Mathematicae | 2018 | 5 Pages |
Abstract
The aim of this note is to characterize in terms of inequalities those pairs of real functions (acting on a convex subset of a vector space) that possess an affine separator. The main result is originally due to Behrends and Nikodem. Their method is based on the Hahn-Banach Theorem and a variant of the Helly Theorem. In our approach, a direct and independent proof is presented via the Radon and the Helly Theorems.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Mihály Bessenyei,