Mean convergence of Lagrange interpolation
Classical Analysis and ODEs
2022-11-11 v2
Abstract
In this note we prove mean convergence of Lagrange interpolation at the zeros of para-orthogonal polynomials for measures in the unit circle which does not belong to Szeg\H{o}'s class in the unit circle. When the measure is in Szeg\H{o}'s class mean convergence of Lagrange interpolation is proved for functions in the disk algebra.
Keywords
Cite
@article{arxiv.2206.08279,
title = {Mean convergence of Lagrange interpolation},
author = {Glenier Bello and Manuel Bello-Hernández},
journal= {arXiv preprint arXiv:2206.08279},
year = {2022}
}