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 $L = 4 L$ 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.

Authors with CRIS profile

Aldo Pratelli Lehrstuhl für Analysis Emanuela Radici Lehrstuhl für Analysis

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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