Abstract

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.

Author information

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

Jean-Baptiste Hiriart-Urruty

Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse, France

jbhu@cict.fr

Keywords

  • Convex functions
  • Legendre-Fenchel conjugate
  • subdifferential

Mathematics Subject Classification

26B25, 52A41, 90C25

Suggested citation

J.-B. Hiriart-Urruty. “Conjugating the Inverse of a Concave Function.” Journal of Convex Analysis 12 (2005), No. 1, 71–79.

Copyright Heldermann Verlag 2005