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We give a proof of the “five gradients inequality” of Optimal Transportation Theory for general costs of the form where is a strictly convex radially symmetric function.
Caillet, Thibault 1
@article{CRMATH_2023__361_G3_715_0, author = {Caillet, Thibault}, title = {The five gradients inequality for non quadratic costs}, journal = {Comptes Rendus. Math\'ematique}, pages = {715--721}, publisher = {Acad\'emie des sciences, Paris}, volume = {361}, number = {G3}, year = {2023}, doi = {10.5802/crmath.444}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.5802/crmath.444/} }
TY - JOUR AU - Caillet, Thibault TI - The five gradients inequality for non quadratic costs JO - Comptes Rendus. Mathématique PY - 2023 SP - 715 EP - 721 VL - 361 IS - G3 PB - Académie des sciences, Paris UR - http://geodesic.mathdoc.fr/articles/10.5802/crmath.444/ DO - 10.5802/crmath.444 LA - en ID - CRMATH_2023__361_G3_715_0 ER -
%0 Journal Article %A Caillet, Thibault %T The five gradients inequality for non quadratic costs %J Comptes Rendus. Mathématique %D 2023 %P 715-721 %V 361 %N G3 %I Académie des sciences, Paris %U http://geodesic.mathdoc.fr/articles/10.5802/crmath.444/ %R 10.5802/crmath.444 %G en %F CRMATH_2023__361_G3_715_0
Caillet, Thibault. The five gradients inequality for non quadratic costs. Comptes Rendus. Mathématique, Tome 361 (2023) no. G3, pp. 715-721. doi: 10.5802/crmath.444
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