Geodesic
On a property of the Legendre transform
Matematičeskie trudy, Tome 20 (2017) no. 1, pp. 145-157

Voir la notice de l'article provenant de la source Math-Net.Ru

For a pair of convex lower semicontinuous functions connected by the Legendre transform, we establish that their derivatives are mutually inverse functions (in the generalized sense). 
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A. A. Mogul'skiǐ. On a property of the Legendre transform. Matematičeskie trudy, Tome 20 (2017) no. 1, pp. 145-157. http://geodesic.mathdoc.fr/item/MT_2017_20_1_a8/