Hermite and Hermite-Fejer Interpolation and Associated Product Integration Rules on the Real Line: The L1 Theory

DOI10.4153/CJM-1992-036-2zbMath0758.41006OpenAlexW2316159086MaRDI QIDQ4022882

Philip Rabinowitz, Doron S. Lubinsky

Publication date: 17 January 1993

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1992-036-2

zbMATH Keywords

Hermite-Fejér interpolationHermite interpolationFreud weightErdős weightsweighted \(L_ 1\)-norm

Mathematics Subject Classification ID

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

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An update on orthogonal polynomials and weighted approximation on the real line, The work of Philip Rabinowitz on numerical integration, On the Hermite-Fejér interpolation based at the zeros of generalized Freud polynomials, The Markov-Bernstein inequality and Hermite-Fejér interpolation for exponential-type weights, On mean convergence of Hermite-Fejér and Hermite interpolation for Erdős weights, Convergence of Hermite and Hermite-Fejér interpolation of higher order for Freud weights, Necessary conditions of convergence of Hermite-Fejér interpolation polynomials for exponential weights, \(L_{\infty}\) convergence of interpolation and associated product integration for exponential weights.