Benedikt Buchecker

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math.CA2025

SzegÅ's theorem for Jordan arcs

Benedikt Buchecker

The $n$ -th Christoffel function for a point $z_{0} \in C$ and a finite measure $I^¼$ supported on a Jordan arc $I^$ is \[ Î»_n(Î¼,z_0)=\inf\left\{\int_Î|P|^2dÎ¼\mid P\text{ is…

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…

SzegÅ's theorem for Jordan arcs

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

SzegÅ's theorem for Jordan arcs

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