5 citations · 8 across the 9 of their papers we have counts for
9 papers
Chebyshev polynomials on a Jordan arc
Benedikt Buchecker, Benjamin Eichinger, Olof Rubin +1
We describe the asymptotics of Chebyshev polynomials on an analytic Jordan arc in the plane. This gives an affirmative answer to a conjecture of Christiansen-Simon-Zinchenko, based…
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…
Norms of Chebyshev and Faber polynomials on curves with corners and cusps
Erwin Miña-Díaz, Olof Rubin, Aron Wennman
We prove that the th Chebyshev polynomial of a piecewise Dini-smooth Jordan curve satisfies \[ \lim_{n\to\infty}\frac{\|T_{n}\|_Γ}{\mathrm{cap}(Γ)^n}=1, \] where $\|…
Chebyshev polynomials on equipotential curves
Erwin Miña-Díaz, Olof Rubin
For an analytic function with a Laurent expansion at of the form \begin{equation*} ϕ(z)=z+c_{0}+\frac{c_{1}}{z}+\frac{c_{2}}{z^{2}}+\cdots, \end{equation*} the Fabe…
Chebyshev polynomials in the complex plane and on the real line
Olof Rubin
We present a survey of central developments in the theory of Chebyshev polynomials, introduced by P.~L.~Chebyshev and later extended to the complex plane by G.~Faber. Our primary f…
Chebyshev polynomials related to Jacobi weights
Jacob S. Christiansen, Olof Rubin
We investigate Chebyshev polynomials corresponding to Jacobi weights and determine monotonicity properties of their related Widom factors. This complements work by Bernstein from 1…
Computing Chebyshev polynomials using the complex Remez algorithm
Lennart Aljoscha Hübner, Olof Rubin
We employ the generalized Remez algorithm, initially suggested by P. T. P. Tang, to perform an experimental study of Chebyshev polynomials in the complex plane. Our focus lies part…
Extremal polynomials and polynomial preimages
Jacob S. Christiansen, Benjamin Eichinger, Olof Rubin
This article examines the asymptotic behavior of the Widom factors, denoted , for Chebyshev polynomials of finite unions of Jordan arcs. We prove that, in contrast t…
Chebyshev polynomials corresponding to a vanishing weight
Alex Bergman, Olof Rubin
We consider weighted Chebyshev polynomials on the unit circle corresponding to a weight of the form where . For integer values of this corresponds to prescribing…