43 citations · 194 across the 50 of their papers we have counts for
11 papers · 1 filter
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…
Sharp Remez inequality
S. Tikhonov, P. Yuditskii
Let an algebraic polynomial of degree be such that for and . We prove the sharp Remez inequality $$ \sup_{ζ\in\m…
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…
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…
Asymptotics of Chebyshev Polynomials, I. Subsets of
Jacob S. Christiansen, Barry Simon, Maxim Zinchenko
We consider Chebyshev polynomials, , for infinite, compact sets (that is, the monic polynomials minimizing the sup-norm, $\Vert T_n \Vert_{\fr…
On a conjecture of Widom
Vilmos Totik, Peter Yuditskii
In 1969 Harold Widom published his seminal paper, which gave a complete description of orthogonal and Chebyshev polynomials on a system of smooth Jordan curves. When there were Jor…