A note on the mean convergence of Lagrange interpolation

DOI10.1016/0021-9045(82)90105-8zbMath0485.41001OpenAlexW2034466695MaRDI QIDQ1164218

Martin Kuetz

Publication date: 1982

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(82)90105-8

zbMATH Keywords

orthogonal polynomialsLagrange interpolation polynomialinterpolatory quadrature

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10) Numerical integration (65D30)

Related Items (4)

Géza Freud, orthogonal polynomials and Christoffel functions. A case study ⋮ Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates ⋮ Mean Convergence of Lagrange Interpolation. III ⋮ Erdös-Turán mean convergence theorem for Lagrange interpolation at Lobatto points

Cites Work

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• Some Erdős-Feldheim type theorems on mean convergence of Lagrange interpolation
• Mean convergence of Lagrange interpolation. I
• Note on mean convergence of Lagrange parabolas
• CONVERGENCE IN THE MEAN AND ALMOST EVERYWHERE OF FOURIER SERIES IN POLYNOMIALS ORTHOGONAL ON AN INTERVAL
• Mean convergence of orthogonal series and Lagrange interpolation

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