Estimates of Lebesgue constants for Lagrange interpolation processes by rational functions under mild restrictions to their fixed poles

Estimates of Lebesgue constants for Lagrange interpolation processes by rational functions under mild restrictions to their fixed poles

We estimate the Lebesgue constants for Lagrange interpolation processes on one or several intervals by rational functions with fixed poles. We admit that the poles have finitely many accumulation points on the intervals. To prove it we use an analog of the inverse polynomial image method for rationa...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of approximation theory 2023-07, Vol.291, p.105909, Article 105909
Hauptverfasser: Kalmykov, Sergei, Lukashov, Alexey
Format: Artikel
Sprache:eng
Schlagworte:
Chebyshev–Markov fractions
Interpolation
Inverse polynomial images
Lebesgue constant
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We estimate the Lebesgue constants for Lagrange interpolation processes on one or several intervals by rational functions with fixed poles. We admit that the poles have finitely many accumulation points on the intervals. To prove it we use an analog of the inverse polynomial image method for rational functions with fixed poles.
ISSN:0021-9045
1096-0430
DOI:10.1016/j.jat.2023.105909