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},
     publisher = {mathdoc},
     volume = {21},
     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/