Asymptotics of Chebyshev Polynomials, I. Subsets of $\mathbb{R}$

Jacob S. Christiansen, Barry Simon, Maxim Zinchenko

We consider Chebyshev polynomials, $T_n(z)$, for infinite, compact sets $\mathfrak{e}\subset \mathbb{R}$ (that is, the monic polynomials minimizing the sup-norm, $\Vert T_n \Vert_{\fr…