M. Zinchenko

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math.CA2026

A four-way Szegő theorem for $L^{p}$ extremal polynomials on subsets of $R$

Gökalp Alpan, Maxim Zinchenko

We prove a four-way Szegő theorem for $L^{p}$ extremal polynomials on compact supports $K = K_{0} \cup X \subset R$ , where $K_{0}$ is a regular compact set and $X$ is a finite or coun…

math.CA2026

Widom factors for Chebyshev and residual polynomials on semi-regular subsets of $R$

Robert Dukes, Maxim Zinchenko

We study $L^{\infty}$ Widom factors for Chebyshev and residual polynomials on compact non-polar subsets of the real line that need not be regular in the sense of potential theory and…

math.CA2025

Bounds for weighted Chebyshev and residual polynomials on subsets of $R$

Jacob S. Christiansen, Barry Simon, Maxim Zinchenko

We give upper and lower bounds for weighted Chebyshev and residual polynomials on subsets of the real line. As an application, we prove a SzegÅ-type theorem in the setting of Parr…

A four-way Szegő theorem for Lp extremal polynomials on subsets of R

Widom factors for Chebyshev and residual polynomials on semi-regular subsets of R

Bounds for weighted Chebyshev and residual polynomials on subsets of R

A four-way Szegő theorem for $L^{p}$ extremal polynomials on subsets of $R$

Widom factors for Chebyshev and residual polynomials on semi-regular subsets of $R$

Bounds for weighted Chebyshev and residual polynomials on subsets of $R$