A uniform bound for the Lagrange polynomials of Leja points for the unit disk
Volume 119 / 2017
Annales Polonici Mathematici 119 (2017), 23-47
MSC: 40A20, 41A10, 65D05.
DOI: 10.4064/ap4027-2-2017
Published online: 28 March 2017
Abstract
We study uniform estimates for the family of fundamental Lagrange polynomials associated with any Leja sequence for the complex unit disk. The main result states that all these polynomials are uniformly bounded on the disk, i.e. independently of the length $N$ of the associated $N$-Leja section. As an application, we get a new estimate for any compact subset whose boundary is an Alper-smooth Jordan curve.
