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arXiv · 2206.08279

Mean convergence of Lagrange interpolation

Glenier Bello·Manuel Bello-Hernández
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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.

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Glenier Bello, Manuel Bello-Hernández. 2022-06-16. Mean convergence of Lagrange interpolation. https://arxiv.org/abs/2206.08279

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