39 citations · 101 across the 14 of their papers we have counts for
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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…
Widom Factors and Szegő-Widom Asymptotics, a Review
Jacob S. Christiansen, Barry Simon, Maxim Zinchenko
We survey results on Chebyshev polynomials centered around the work of H. Widom. In particular, we discuss asymptotics of the polynomials and their norms and general upper and lowe…
Asymptotics of Chebyshev Polynomials, V. Residual Polynomials
Jacob S. Christiansen, Barry Simon, Maxim Zinchenko
We study residual polynomials, , , , which are the degree at most polynomials…
Asymptotics of Chebyshev Polynomials, IV. Comments on the Complex Case
Jacob S. Christiansen, Barry Simon, Maxim Zinchenko
We make a number of comments on Chebyshev polynomials for general compact subsets of the complex plane. We focus on two aspects: asymptotics of the zeros and explicit Totik--Widom…
Asymptotics of Chebyshev Polynomials, III. Sets Saturating SzegŐ, Schiefermayr, and Totik--Widom Bounds
Jacob S. Christiansen, Barry Simon, Maxim Zinchenko
We determine which sets saturate the Szeg}o and Schiefermayr lower bounds on the norms of Chebyshev Polynomials. We also discuss sets that saturate the Totik--Widom upper bound.
Asymptotics of Chebyshev Polynomials, II. DCT Subsets of
Jacob S. Christiansen, Barry Simon, Peter Yuditskii +1
We prove Szegő-Widom asymptotics for the Chebyshev polynomials of a compact subset of which is regular for potential theory and obeys the Parreau-Widom and DCT conditi…