G. Alpan

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20242026

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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.CA2024

Lower Bounds for Weighted Chebyshev and Orthogonal Polynomials

GÃ¶kalp 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…

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

Lower Bounds for Weighted Chebyshev and Orthogonal Polynomials

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