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An approach of majorization in spaces with a curved geometry |
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| Authors: | Constantin P Niculescu Ionel Roven?a |
| Institution: | University of Craiova, Department of Mathematics, Street A. I. Cuza 13, Craiova 200585, Romania |
| Abstract: | The Hardy–Littlewood–Pólya majorization theorem is extended to the framework of some spaces with a curved geometry (such as the global NPC spaces and the Wasserstein spaces). We also discuss the connection between our concept of majorization and the subject of Schur convexity. Several applications are included. |
| Keywords: | Generalized convex function Global NPC space Majorization of measures Wasserstein distance |
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