Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature
We show how an operation of inf-convolution can be used to approximate convex functions with $C^1$ smooth convex functions on Riemannian manifolds with nonpositive curvature (in a manner that not only is explicit but also preserves some other properties of the original functions, such as ordering, s...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49771 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/49771 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.98 Inf-convolution Convex function Regularization Riemannian manifold Análisis funcional y teoría de operadores |
| Sumario: | We show how an operation of inf-convolution can be used to approximate convex functions with $C^1$ smooth convex functions on Riemannian manifolds with nonpositive curvature (in a manner that not only is explicit but also preserves some other properties of the original functions, such as ordering, symmetries, infima and sets of minimizers), and we give some applications |
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