Geodesic
A General Formula on the Conjugate of the Difference of Functions
Canadian mathematical bulletin, Tome 29 (1986) no. 4, pp. 482-485

Voir la notice de l'article provenant de la source Cambridge University Press

Given an arbitrary function g :X→ (-∞, +∞] and a lowersemicontinuous convex function h:X→ (-∞, +∞], we give the general expression of the conjugate (g — h)* of g - h in terms of g* and h* . As a consequence, we get Toland's duality theorem:
DOI : 10.4153/CMB-1986-076-7
Mots-clés : 90C25, 49B 
Hiriart-Urruty, J.-B. A General Formula on the Conjugate of the Difference of Functions. Canadian mathematical bulletin, Tome 29 (1986) no. 4, pp. 482-485. doi: 10.4153/CMB-1986-076-7
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