Biblioteca de la Universidad Complutense de Madrid

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

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Azagra Rueda, Daniel y Ferrera Cuesta, Juan (2006) Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature. Revista matemática complutense, 19 (2). pp. 323-345. ISSN 1988-2807

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Resumen

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


Tipo de documento:Artículo
Palabras clave:Inf-convolution; Convex function; Regularization; Riemannian manifold
Materias:Ciencias > Matemáticas > Análisis funcional y teoría de operadores
Código ID:13963
Depositado:25 Nov 2011 12:31
Última Modificación:06 Feb 2014 09:56

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