Benedikt Buchecker

collaborators

3 papers

math.CA2026

Chebyshev polynomials on a Jordan arc

Benedikt Buchecker, Benjamin Eichinger, Olof Rubin +1

We describe the asymptotics of Chebyshev polynomials on an analytic Jordan arc in the plane. This gives an affirmative answer to a conjecture of Christiansen-Simon-Zinchenko, based…

math.CA2025

Szegő's theorem for Jordan arcs

Benedikt Buchecker

The $n$ -th Christoffel function for a point $z_{0} \in C$ and a finite measure $μ$ supported on a Jordan arc $Γ$ is \[ λ_n(μ,z_0)=\inf\left\{\int_Γ|P|^2dμ\mid P\text{ is a poly…

math.CA2025

Asymptotics of $L^{r}$ extremal polynomials for $0 < r \leq \infty$ on $C^{1 +}$ Jordan regions

Benedikt Buchecker, Benjamin Eichinger, Maxim Zinchenko

We study strong asymptotics of $L^{r}$ -extremal polynomials for measures supported on Jordan regions with $C^{1 +}$ boundary for $0 < r < \infty$ . Using the results for $r = 2$ , we derive a…

Chebyshev polynomials on a Jordan arc

Szegő's theorem for Jordan arcs

Asymptotics of Lr extremal polynomials for 0<r≤∞ on C1+ Jordan regions

Asymptotics of $L^{r}$ extremal polynomials for $0 < r \leq \infty$ on $C^{1 +}$ Jordan regions