M. Zinchenko

activity

20242026

collaborators

3 papers

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…

math.CA2024

Lower Bounds for Weighted Chebyshev and Orthogonal Polynomials

Gökalp Alpan, Maxim Zinchenko

We derive optimal asymptotic and non-asymptotic lower bounds on the Widom factors for weighted Chebyshev and orthogonal polynomials on compact subsets of the real line. In the Cheb…

Weighted residual polynomials on a circular arc

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

Lower Bounds for Weighted Chebyshev and Orthogonal Polynomials

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