Explicit barycentric formulae for osculatory interpolation at roots of classical orthogonal polynomials

DOI10.1090/mcom/3184zbMath1366.41002OpenAlexW2588166938MaRDI QIDQ2981783

Przemysław Rutka, Ryszard Smarzewski

Publication date: 10 May 2017

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

Full work available at URL: https://doi.org/10.1090/mcom/3184

zbMATH Keywords

classical orthogonal polynomialsChristoffel numbersbarycentric weightsfast barycentric algorithmsHermite and Lagrange typeinterpolation of FejérPearson and Sturm-Liouville differential equationstridiagonal symmetric eigenvalue problems

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)

Related Items

Difference inequalities and barycentric identities for classical discrete iterated weights ⋮ The Szegö-Markov-Bernstein inequalities and barycentric representations of the osculatory interpolating operators for classical iterated weights ⋮ The electrostatic equilibrium problem for classical discrete orthogonal polynomials

Uses Software

• FastGaussQuadrature

Cites Work

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