On the piecewise approximation of bi Lipschitz curves
Pratelli A, Radici E (2015)
Publication Type: Other publication type
Publication year: 2015
URI: http://arxiv.org/abs/1505.06510
Abstract
In this paper we deal with the task of uniformly approximating an L-biLipschitz curve by means of piecewise linear ones. This is rather simple if one is satisfied to have approximating functions which are L-biLipschitz, for instance this was already done with L=4L in [Daneri-Pratelli, Lemma 5.5]. The main result of this paper is to do the same with L=L+ε (which is of course the best possible result); in the end, we generalize the result to the case of closed curves.
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How to cite
APA:
Pratelli, A., & Radici, E. (2015). On the piecewise approximation of bi Lipschitz curves.
MLA:
Pratelli, Aldo, and Emanuela Radici. On the piecewise approximation of bi Lipschitz curves. 2015.
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