Geodesic
On Extensions of D. C. Functions and Convex Functions
Journal of convex analysis, Tome 17 (2010) no. 2, pp. 427-44.

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

We show how our recent results on compositions of d.c. functions (and mappings) imply positive results on extensions of d.c. functions (and mappings). Examples answering two natural relevant questions are presented. Two further theorems, concerning extendability of continuous convex functions from a closed subspace of a normed linear space, complement recent results of J. Borwein, V. Montesinos and J. Vanderwerff.
Classification : 52A41, 26B25, 46B99
Mots-clés : d.c. function, d.c. mapping, delta-convex mapping, convex function, extension, Banach space 
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L. Vesely; L. Zajícek. On Extensions of D. C. Functions and Convex Functions. Journal of convex analysis, Tome 17 (2010) no. 2, pp. 427-44. http://geodesic.mathdoc.fr/item/JCA_2010_17_2_JCA_2010_17_2_a4/