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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 Szegő's class in the unit circle. When the measure is in Szegő's class mean convergence of Lagrange interpolation is proved for functions in the disk algebra.

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Glenier Bello, Manuel Bello-Hernández. 2022-11-09. Mean convergence of Lagrange interpolation. https://arxiv.org/abs/2206.08279

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