Abstract
We prove that the convex envelope of a differentiable, or C1,a-function f is C1, or C1,a respectively, provided only that the function satisfies the very mild growth condition that f(x) tends to +8 if |x| does so. © 2001 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS.
Translated title of the contribution | Differentiability of convex envelopes |
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Original language | French |
Pages (from-to) | 725-728 |
Number of pages | 4 |
Journal | Comptes Rendus de l'Académie des Sciences - Series I - Mathematics |
Volume | 333 |
Issue number | 8 |
DOIs | |
Publication status | Published - Oct 2001 |