Geodesic
Local Strong Convexity and Local Lipschitz Continuity of the Gradient of Convex Functions
Journal of convex analysis, Tome 15 (2008) no. 2, pp. 263-27.

Voir la notice de l'article provenant de la source Heldermann Verlag

Given a pair of convex conjugate functions $f$ and $f^*$, we investigate the relationship between local Lipschitz continuity of $\nabla f$ and local strong convexity properties of $f^*$.
Mots-clés : Convex functions, Fenchel conjugate, differentiability, Lipschitz continuity, local strong convexity, duality 
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     author = {R. Goebel and R. T. Rockafellar},
     title = {Local {Strong} {Convexity} and {Local} {Lipschitz} {Continuity} of the {Gradient} of {Convex} {Functions}},
     journal = {Journal of convex analysis},
     pages = {263--27},
     publisher = {mathdoc},
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R. Goebel; R. T. Rockafellar. Local Strong Convexity and Local Lipschitz Continuity of the Gradient of Convex Functions. Journal of convex analysis, Tome 15 (2008) no. 2, pp. 263-27. http://geodesic.mathdoc.fr/item/JCA_2008_15_2_JCA_2008_15_2_a4/