Volume 36, Number 1, January-March 2002
|Page(s)||95 - 100|
|Published online||15 July 2002|
Generalized Characterization of the Convex Envelope of a Function
Preparatory Institute of Engineering Studies,
P.O. Box 805, 3018 Sfax, Tunisia.
We investigate the minima of functionals of the form where g is strictly convex. The admissible functions are not necessarily convex and satisfy on [a,b], u(a)=f(a), u(b)=f(b), f is a fixed function on [a,b]. We show that the minimum is attained by , the convex envelope of f.
Key words: Convex envelope / optimization / strict convexity / cost function.
© EDP Sciences, 2002
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