Bounds for weighted Chebyshev and residual polynomials on subsets of $\mathbb{R}$

TL;DR

This paper establishes bounds for weighted Chebyshev and residual polynomials on real subsets and applies these results to prove a Szeg\

Contribution

It introduces new bounds for these polynomials and extends Szeg\

Findings

Derived bounds for weighted Chebyshev and residual polynomials.

Proved a Szeg\

demonstrated applicability to Parreau--Widom sets.

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.