The five gradients inequality for non quadratic costs
We give a proof of the “five gradients inequality” of Optimal Transportation Theory for general costs of the form $c(x,y)=h(x-y)$ where $h$ is a $C^1$ strictly convex radially symmetric function.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-03-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.444/ |
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| author | Caillet, Thibault |
| author_facet | Caillet, Thibault |
| author_sort | Caillet, Thibault |
| collection | DOAJ |
| description | We give a proof of the “five gradients inequality” of Optimal Transportation Theory for general costs of the form $c(x,y)=h(x-y)$ where $h$ is a $C^1$ strictly convex radially symmetric function. |
| format | Article |
| id | doaj-art-79e1d00a392a451bbce7b840362a0776 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-03-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-79e1d00a392a451bbce7b840362a07762025-02-07T11:07:01ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-03-01361G371572110.5802/crmath.44410.5802/crmath.444The five gradients inequality for non quadratic costsCaillet, Thibault0Institut Camille Jordan, Université Claude Bernard - Lyon 1, 43 boulevard du 11 novembre 1918, 69622 Villeurbanne cedexWe give a proof of the “five gradients inequality” of Optimal Transportation Theory for general costs of the form $c(x,y)=h(x-y)$ where $h$ is a $C^1$ strictly convex radially symmetric function.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.444/ |
| spellingShingle | Caillet, Thibault The five gradients inequality for non quadratic costs Comptes Rendus. Mathématique |
| title | The five gradients inequality for non quadratic costs |
| title_full | The five gradients inequality for non quadratic costs |
| title_fullStr | The five gradients inequality for non quadratic costs |
| title_full_unstemmed | The five gradients inequality for non quadratic costs |
| title_short | The five gradients inequality for non quadratic costs |
| title_sort | five gradients inequality for non quadratic costs |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.444/ |
| work_keys_str_mv | AT cailletthibault thefivegradientsinequalityfornonquadraticcosts AT cailletthibault fivegradientsinequalityfornonquadraticcosts |