4 papers · 1 filter
On AAA approximants on an interval to Nevanlinna-Pick functions and Pólya Frequency Series
Sergey A. Denisov, Maxim L. Yattselev
We study the connection between AAA (triple A) algorithm and multi-point Padé approximation when the approximated functions belong to either the Nevanlinna-Pick class or are Pólya…
Asymptotics of Polynomials Orthogonal on an Interval with Varying Weights
Sergey A. Denisov, Maxim L. Yattselev
We study strong asymptotics of orthogonal polynomials on an interval with varying weights, extending the framework of Totik's theorem on weighted orthogonal polynomials. Our result…
Uniformity of Strong Asymptotics in Angelesco Systems
Maxim L. Yattselev
Let and be two complex-valued Borel measures on the real line such that and ${\rm d}μ…
Strong Asymptotics of Multiple Orthogonal Polynomials for Angelesco Systems. Part I: Non-Marginal Directions
A. I. Aptekarev, S. A. Denisov, M. L. Yattselev
In this work, we establish strong asymptotics of multiple orthogonal polynomials of the second type for Angelesco systems with measures that satisfy SzegÅ conditions. We consider…