Journal of convex analysis, Tome 11 (2004) no. 1, pp. 131-146
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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/
@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/}
}
TY - JOUR
AU - D. Lambert
AU - J.-P. Crouzeix
AU - V. H. Nguyen
AU - J.-J. Strodiot
TI - Finite Convex Integration
JO - Journal of convex analysis
PY - 2004
SP - 131
EP - 146
VL - 11
IS - 1
UR - http://geodesic.mathdoc.fr/item/JCA_2004_11_1_JCA_2004_11_1_a8/
ID - JCA_2004_11_1_JCA_2004_11_1_a8
ER -
%0 Journal Article
%A D. Lambert
%A J.-P. Crouzeix
%A V. H. Nguyen
%A J.-J. Strodiot
%T Finite Convex Integration
%J Journal of convex analysis
%D 2004
%P 131-146
%V 11
%N 1
%U http://geodesic.mathdoc.fr/item/JCA_2004_11_1_JCA_2004_11_1_a8/
%F JCA_2004_11_1_JCA_2004_11_1_a8
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.
