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20142026
most citedSzego\H o-Widom asymptotics of Chebyshev Polynomials on Circular Arcs

9 citations · 20 across the 20 of their papers we have counts for

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math.CA2022

Asymptotics for Christoffel functions associated to continuum Schrödinger operators

Benjamin Eichinger

We prove asymptotics of the Christoffel function, , of a continuum Schrödinger operator for points in the interior of the essential spectrum under some mild conditions on t…

math.CA2021★ 2 cited

An approach to universality using Weyl m-functions

Benjamin Eichinger, Milivoje Lukić, Brian Simanek

We describe an approach to universality limits for orthogonal polynomials on the real line which is completely local and uses only the boundary behavior of the Weyl m-function at t…

math.CA2021

Asymptotics of Chebyshev rational functions with respect to subsets of the real line

Benjamin Eichinger, Milivoje Lukić, Giorgio Young

There is a vast theory of Chebyshev and residual polynomials and their asymptotic behavior. The former ones maximize the leading coefficient and the latter ones maximize the point…

math.CA2020★ 1 cited

Pointwise Remez inequality

B. Eichinger, P. Yuditskii

The standard well-known Remez inequality gives an upper estimate of the values of polynomials on if they are bounded by on a subset of of fixed Lebesgue measu…

math.CA2017

Ahlfors problem for polynomials

Benjamin Eichinger, Peter Yuditskii

We raise a conjecture that asymptotics for Chebyshev polynomials in a complex domain can be given in terms of the reproducing kernels of a suitable Hilbert space of analytic functi…

math.CA2016★ 9 cited

Szego\H o-Widom asymptotics of Chebyshev Polynomials on Circular Arcs

Benjamin Eichinger

Thiran and Detaille give an explicit formula for the asymptotics of the sup-norm of the Chebyshev polynomials on a circular arc. We give the so-called -Widom asy…