Kánnai, Zoltán (2024) Characterizations of convex functions by level sets. Central European Journal of Operations Research . DOI https://doi.org/10.1007/s10100-024-00908-1
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Official URL: https://doi.org/10.1007/s10100-024-00908-1
Abstract
It is shown that a lsc function is convex if and only if the minimal set of any linear perturbation of the function is convex. That fact also yields that the convexity of a function is equivalent to the quasiconvexity of its all linear perturbations.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | minimal set, linear perturbation, convexity of functions |
| Divisions: | Institute of Data Analytics and Information Systems |
| Subjects: | Mathematics, Econometrics |
| Funders: | Open access funding provided by Corvinus University of Budapest |
| DOI: | https://doi.org/10.1007/s10100-024-00908-1 |
| ID Code: | 9982 |
| Deposited By: | MTMT SWORD |
| Deposited On: | 28 May 2024 14:41 |
| Last Modified: | 28 May 2024 14:42 |
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