A Note on the Legendre-Fenchel Transform of Convex Composite Functions

  • Hiriart-Urruty J
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Abstract

In this note we present a short and clear-cut proof of the formula giving the Legendre-Fenchel transform of a convex composite function g o (f1 ..., fm) in terms of the transform of g and those of the fi′s.

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Hiriart-Urruty, J.-B. (2006). A Note on the Legendre-Fenchel Transform of Convex Composite Functions. In Nonsmooth Mechanics and Analysis (pp. 35–46). Kluwer Academic Publishers. https://doi.org/10.1007/0-387-29195-4_4

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