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.