Smooth Approximation of Lipschitz Functions on Finsler Manifolds

Smooth Approximation of Lipschitz Functions on Finsler Manifolds

We study the smooth approximation of Lipschitz functions on Finsler manifolds, keeping control on the corresponding Lipschitz constants. We prove that, given a Lipschitz function f:M→ℝ defined on a connected, second countable Finsler manifold M, for each positive continuous function ε:M→(0,∞) and ea...

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Bibliographic Details
Main Authors: M. I. Garrido, J. A. Jaramillo, Y. C. Rangel
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/164571

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