Geodesic
Extension of Convex Function
Journal of convex analysis, Tome 21 (2014) no. 4, pp. 965-987.

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

We study the local and global versions of the convexity, which is closely related to the problem of extending a convex function on a non-convex domain to a convex function on the convex hull of the domain and beyond the convex hull. We also give the parallel results for the convexity defined by positive definite Hessian.
Classification : 26B25
Mots-clés : Convex function, non-convex domain, convex hull, positive definite Hessian, extension 
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     author = {M. Yan},
     title = {Extension of {Convex} {Function}},
     journal = {Journal of convex analysis},
     pages = {965--987},
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     number = {4},
     year = {2014},
     url = {http://geodesic.mathdoc.fr/item/JCA_2014_21_4_JCA_2014_21_4_a3/}
}
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M. Yan. Extension of Convex Function. Journal of convex analysis, Tome 21 (2014) no. 4, pp. 965-987. http://geodesic.mathdoc.fr/item/JCA_2014_21_4_JCA_2014_21_4_a3/