Geodesic
Finite Convex Integration
Journal of convex analysis, Tome 11 (2004) no. 1, pp. 131-146
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This paper is concerned with the finite convex integration problem which for a given finite family of pairs of points { (xi, xi*) }, consists in finding a convex function f such that xi* lies in δf(xi) for all i , where δf(xi) denotes the Fenchel-subdifferential of f at x. 
@article{JCA_2004_11_1_JCA_2004_11_1_a8,
     author = {D. Lambert and J.-P. Crouzeix and V. H. Nguyen and J.-J. Strodiot},
     title = {Finite {Convex} {Integration}},
     journal = {Journal of convex analysis},
     pages = {131--146},
     year = {2004},
     volume = {11},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2004_11_1_JCA_2004_11_1_a8/}
}
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D. Lambert; J.-P. Crouzeix; V. H. Nguyen; J.-J. Strodiot. Finite Convex Integration. Journal of convex analysis, Tome 11 (2004) no. 1, pp. 131-146. http://geodesic.mathdoc.fr/item/JCA_2004_11_1_JCA_2004_11_1_a8/