Preprint 68/1999

Differentiability of convex envelopes

Bernd Kirchheim and Jan Kristensen

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Submission date: 06. Dec. 1999
Pages: 4
published in: Comptes rendus de l'Académie des Sciences / 1, 333 (2001) 8, p. 725-728 
DOI number (of the published article): 10.1016/S0764-4442(01)02117-6
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We present a simple proof for the existence and (Hölder) continuity of derivatives of convex envelopes for functions tex2html_wrap_inline13. Besides being much shorter than prior proofs in the literature, our method also weakens the previously used growth conditions from below to the best possible ones (of this general kind).

24.11.2021, 02:10