Benjamin Eichinger

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.CV2026

Weighted residual polynomials on a circular arc

Jacob S. Christiansen, Benjamin Eichinger, Olof Rubin +1

We study the behavior of weighted residual polynomials on circular arcs, including weighted Chebyshev polynomials. For weights given by reciprocals of polynomials, we establish Sze…

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

Weighted residual polynomials on a circular arc

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