Geodesic
On the Regularity of the Convexification Operator on a Compact Set
Journal of convex analysis, Tome 11 (2004) no. 1, pp. 209-234 
R. Laraki. On the Regularity of the Convexification Operator on a Compact Set. Journal of convex analysis, Tome 11 (2004) no. 1, pp. 209-234. http://geodesic.mathdoc.fr/item/JCA_2004_11_1_JCA_2004_11_1_a13/
@article{JCA_2004_11_1_JCA_2004_11_1_a13,
     author = {R. Laraki},
     title = {On the {Regularity} of the {Convexification} {Operator} on a {Compact} {Set}},
     journal = {Journal of convex analysis},
     pages = {209--234},
     year = {2004},
     volume = {11},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2004_11_1_JCA_2004_11_1_a13/}
}
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Voir la notice de l'article provenant de la source Heldermann Verlag

Let coX( . ) denote the convexification operator on bounded real functions on a convex compact set X. Several necessary and sufficient conditions for the operator coX( . ) to preserve continuity and uniformly Lipschitz continuity are established.