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

Azagra, Daniel, and Ferrera, Juan. "Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature.." Revista Matemática Complutense 19.2 (2006): 323-345. <http://eudml.org/doc/41905>.

@article{Azagra2006,
abstract = {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.},
author = {Azagra, Daniel, Ferrera, Juan},
journal = {Revista Matemática Complutense},
keywords = {Funciones convexas; Variedad riemanniana; Variedades de dimensión infinita; Convolución; inf-convolution; convex function; regularization; Riemannian manifold},
language = {eng},
number = {2},
pages = {323-345},
title = {Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature.},
url = {http://eudml.org/doc/41905},
volume = {19},
year = {2006},
}

TY - JOUR
AU - Azagra, Daniel
AU - Ferrera, Juan
TI - Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature.
JO - Revista Matemática Complutense
PY - 2006
VL - 19
IS - 2
SP - 323
EP - 345
AB - 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.
LA - eng
KW - Funciones convexas; Variedad riemanniana; Variedades de dimensión infinita; Convolución; inf-convolution; convex function; regularization; Riemannian manifold
UR - http://eudml.org/doc/41905
ER -