Polynomials of the best uniform approximation to sgn(x) on two intervals
Complex Variables
2012-02-07 v1
Abstract
We describe polynomials of the best uniform approximation to sgn(x) on the union of two intervals in terms of special conformal mappings. This permits us to find the exact asymptotic behavior of the error of this approximation.
Cite
@article{arxiv.1008.3765,
title = {Polynomials of the best uniform approximation to sgn(x) on two intervals},
author = {Alexandre Eremenko and Peter Yuditskii},
journal= {arXiv preprint arXiv:1008.3765},
year = {2012}
}
Comments
32 pages, 13 figures