Abstract

This paper is concerned with the finite convex integration problem which for a given finite family of pairs of points {(xi,xi∗)}\{(x_i, x_i^*)\}, consists in finding a convex function f such that xi∗∈∂f(xi)x_i^*\in\partial f(x_i) for all i, where ∂f(xi)\partial f(x_i) denotes the Fenchel-subdifferential of f at x

Author information

Contact details are reproduced from the original publication and may be historical.

J.-P. Crouzeix

LIMOS, Université Blaise Pascal, Clermont-Ferrand, France

Van Hien Nguyen

Dep. de Mathématique, Facultés Universitaires Notre Dame de la Paix, Namur, Belgium

Jean-Jacques Strodiot

Dep. de Mathématique, Facultés Universitaires Notre Dame de la Paix, Namur, Belgium

Suggested citation

D. Lambert, J.-P. Crouzeix, V. H. Nguyen, J.-J. Strodiot. “Finite Convex Integration.” Journal of Convex Analysis 11 (2004), No. 1, 131–146. https://doi.org/10.68381/jca11009

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Published by Heldermann Verlag, 2004. Rights now held by Banach Press.