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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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 |
|---|---|
| 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 13:31 |
| Last Modified: | 25 Nov 2011 13:31 |
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