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Azagra Rueda, Daniel and 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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Official URL: http://www.mat.ucm.es/serv/revmat/
Abstract
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
Item Type: | Article |
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Uncontrolled Keywords: | Inf-convolution; Convex function; Regularization; Riemannian manifold |
Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |
ID Code: | 13963 |
Deposited On: | 25 Nov 2011 12:31 |
Last Modified: | 06 Feb 2014 09:56 |
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