On the piecewise-concave approximations of functions
Optimization and Control
2014-04-18 v2
Abstract
The piecewise-concave function may be used to approximate a wide range of other functions to arbitrary precision over a bounded set. In this short paper, this property is proven for three function classes: (a) the multivariate twice continuously differentiable function, (b) the univariate Lipschitz-continuous function, and (c) the multivariate separable Lipschitz-continuous function.
Cite
@article{arxiv.1403.3882,
title = {On the piecewise-concave approximations of functions},
author = {Gene A. Bunin},
journal= {arXiv preprint arXiv:1403.3882},
year = {2014}
}
Comments
4 pages; written as a supplement to submitted journal paper