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math.CV2025★ 8 cited
Weighted Chebyshev Polynomials on Compact Subsets of the Complex Plane
Galen Novello, Klaus Schiefermayr, Maxim Zinchenko
We study weighted Chebyshev polynomials on compact subsets of the complex plane with respect to a bounded weight function. We establish existence and uniqueness of weighted Chebysh…
math.CA2025
Bounds for weighted Chebyshev and residual polynomials on subsets of
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 Szegő-type theorem in the setting of Parre…