Mean convergence of Lagrange interpolation

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چکیده

In this note we prove mean convergence of Lagrange interpolation at the zeros para-orthogonal polynomials for measures on unit circle which do not belong to Szegő’s class. When measure is in class, proved functions disk algebra.

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ژورنال

عنوان ژورنال: Journal of Approximation Theory

سال: 2023

ISSN: ['0021-9045', '1096-0430']

DOI: https://doi.org/10.1016/j.jat.2023.105912