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

DOI

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
@article{10_4153_CMB_1986_076_7,
     author = {Hiriart-Urruty, J.-B.},
     title = {A {General} {Formula} on the {Conjugate} of the {Difference} of {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {482--485},
     year = {1986},
     volume = {29},
     number = {4},
     doi = {10.4153/CMB-1986-076-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-076-7/}
}
TY  - JOUR
AU  - Hiriart-Urruty, J.-B.
TI  - A General Formula on the Conjugate of the Difference of Functions
JO  - Canadian mathematical bulletin
PY  - 1986
SP  - 482
EP  - 485
VL  - 29
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-076-7/
DO  - 10.4153/CMB-1986-076-7
ID  - 10_4153_CMB_1986_076_7
ER  - 
%0 Journal Article
%A Hiriart-Urruty, J.-B.
%T A General Formula on the Conjugate of the Difference of Functions
%J Canadian mathematical bulletin
%D 1986
%P 482-485
%V 29
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-076-7/
%R 10.4153/CMB-1986-076-7
%F 10_4153_CMB_1986_076_7

Cité par Sources :