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

  1. Azagra Rueda, Daniel
  2. Ferrer Angulo, Juan Manuel
Revista:
Revista matemática complutense

ISSN: 1139-1138,  1988-2807

Año de publicación: 2006

Volumen: 19

Número: 2

Páginas: 323-345

Tipo: Artículo

DOI: 10.5209/REV_REMA.2006.V19.N2.16592 DIALNET GOOGLE SCHOLAR lock_openAcceso abierto editor

Otras publicaciones en: Revista matemática complutense

Objetivos de desarrollo sostenible

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.

Fuente de los datos: Dialnet