Extended Lagrange interpolation on the real line

DOI10.1016/j.cam.2013.01.019zbMath1291.65042OpenAlexW2078890802MaRDI QIDQ2252804

Maria Grazia Russo, Donatella Occorsio

Publication date: 23 July 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2013.01.019

zbMATH Keywords

orthogonal polynomialspolynomial approximationLagrange interpolationLebesgue constantsextended interpolation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items (8)

A mixed collocation scheme for solving second kind Fredholm integral equations in \([-1,1\)] ⋮ Generalized pseudospectral method and zeros of orthogonal polynomials ⋮ A new quadrature scheme based on an extended Lagrange interpolation process ⋮ A product integration rule for hypersingular integrals on \((0,+\infty)\) ⋮ Mean convergence of an extended Lagrange interpolation process on \([0,+\infty)\) ⋮ A unified representation for some interpolation formulas ⋮ A mixed scheme of product integration rules in \((-1,1)\) ⋮ New Properties of the Zeros of Krall Polynomials

Cites Work

• Extended Lagrange interpolation in weighted uniform norm
• On the Lebesgue function of weighted Lagrange interpolation. I: Freud-type weights
• Weighted Lagrange and Hermite-Fejér interpolation on the real line
• Polynomial approximation on infinite intervals with weights having inner zeros
• Orthonormal polynomials with generalized Freud-type weights.
• A Lagrange-type projector on the real line
• Approximation of the Hilbert Transform on the real line using Hermite zeros
• Lagrange interpolation at Laguerre zeros in some weighted uniform spaces
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