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Journal of Convex Analysis 12 (2005), No. 1, 071--079
Copyright Heldermann Verlag 2005

Conjugating the Inverse of a Concave Function

Jean-Baptiste Hiriart-Urruty
Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse, France

This note is devoted to the clarification of the relationship between the Legendre-Fenchel conjugate of 1/f and that of -f when f is a positive concave function.

Keywords: Convex functions, Legendre-Fenchel conjugate, subdifferential.

MSC: 26B25, 52A41, 90C25

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