Geodesic
A uniform bound for the Lagrange polynomials of Leja points for the unit disk
Amadeo Irigoyen1
1 Departament MAIA Universitat de Barcelona Gran Via de les Corts Catalanes, 585 08007 Barcelona, Spain
Annales Polonici Mathematici, Tome 119 (2017) no. 1, pp. 23-47

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap4027-2-2017
Keywords: study uniform estimates family fundamental lagrange polynomials associated leja sequence complex unit disk main result states these polynomials uniformly bounded disk independently length associated n leja section application get estimate compact subset whose boundary alper smooth jordan curve

Amadeo Irigoyen 1

1 Departament MAIA Universitat de Barcelona Gran Via de les Corts Catalanes, 585 08007 Barcelona, Spain 
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Amadeo Irigoyen. A uniform bound for the Lagrange polynomials of Leja points for the unit disk. Annales Polonici Mathematici, Tome 119 (2017) no. 1, pp. 23-47. doi: 10.4064/ap4027-2-2017

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