Bounds for weighted Chebyshev and residual polynomials on subsets of $\mathbb{R}$
Classical Analysis and ODEs
2025-02-18 v1
Abstract
We give upper and lower bounds for weighted Chebyshev and residual polynomials on subsets of the real line. As an application, we prove a Szeg\H{o}-type theorem in the setting of Parreau--Widom sets.
Keywords
Cite
@article{arxiv.2502.11424,
title = {Bounds for weighted Chebyshev and residual polynomials on subsets of $\mathbb{R}$},
author = {Jacob S. Christiansen and Barry Simon and Maxim Zinchenko},
journal= {arXiv preprint arXiv:2502.11424},
year = {2025}
}