Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature

Autores: Daniel Azagra Rueda , Juan Manuel Ferrer Angulo
Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 19, Nº 2, 2006, págs. 323-345
Idioma: inglés
DOI: 10.5209/rev_rema.2006.v19.n2.16592
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Resumen
- We show how an operation of inf-convolution can be used to approximate convex functions with C1 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.