3 papers
math.CA2024
Lower Bounds for Weighted Chebyshev and Orthogonal Polynomials
Gökalp Alpan, Maxim Zinchenko
We derive optimal asymptotic and non-asymptotic lower bounds on the Widom factors for weighted Chebyshev and orthogonal polynomials on compact subsets of the real line. In the Cheb…
math.CA2016
Some Open Problems Concerning Orthogonal Polynomials on Fractals and Related Questions
Gökalp Alpan, Alexander Goncharov
Some Open Problems Concerning Orthogonal Polynomials.
math.CA2016
Orthogonal polynomials on Cantor sets of zero Lebesgue measure
Gökalp Alpan
In this survey article, we review some results and conjectures related to orthogonal polynomials on Cantor sets. The main purpose of this paper is to emphasize the role of equilibr…