Differentiability of convex envelopes
We prove that the convex envelope of a differentiable, or C1,α-function f is C1, or C1,α respectively, provided only that the function satisfies the very mild growth condition that f(x) tends to +∞ if |x| does so. © 2001 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS.
| Main Authors: | , |
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| Format: | Journal article |
| Language: | French |
| Published: |
2001
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| Summary: | We prove that the convex envelope of a differentiable, or C1,α-function f is C1, or C1,α respectively, provided only that the function satisfies the very mild growth condition that f(x) tends to +∞ if |x| does so. © 2001 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS. |
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