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UID:7484@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20171002T103000
DTEND;TZID=Europe/Paris:20171002T113000
DTSTAMP:20241120T204343Z
URL:https://www.i2m.univ-amu.fr/evenements/a-uniform-bound-for-the-lagrang
 e-polynomials-of-leja-points-for-the-unit-disk-and-applications-in-multiva
 riate-lagrange-interpolation/
SUMMARY:Amadeo Irigoyen (University of Barcelona): A uniform bound for the 
 Lagrange polynomials of Leja points for the unit disk and applications in 
 multivariate Lagrange interpolation
DESCRIPTION:Amadeo Irigoyen: We study uniform estimates for the family of f
 undamental Lagrange polynomials associated with any Leja sequence for the 
 complex unit disk.The main result claims that all these polynomials are un
 iformly bounded on the disk\, i.e. independently of the range N of the ass
 ociated N-Leja section. As a first application\, we get an analogous estim
 ate for any compact subset whose boundary is an Alper-smooth Jordan curve.
  We then deal with some applications in multivariate Lagrange interpolatio
 n. We first give some estimates of the Lebesgue constant for the intertwin
 ing sequence of Leja sequences. This result also requires an explicit form
 ula for the associated fundamental Lagrange polynomials with uniform estim
 ates. We finish by dealing with a method to get explicit bidimensional Lej
 a sequences and then give a positive example for the bidisk. \nhttps://arx
 iv.org/abs/1411.5527\n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 021/03/Amadeo_Irigoyen.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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