Convergence rates of a family of barycentric rational Hermite interpolants and their derivatives

DOI10.1016/j.cam.2021.113569zbMath1503.65027OpenAlexW3139995322MaRDI QIDQ2029640

Ke Jing, Ning Kang

Publication date: 3 June 2021

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.2021.113569

zbMATH Keywords

convergence ratebarycentric formrational Hermite interpolantsHermite interpolants

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Uses Software

• MPFR

Cites Work

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• On the Lebesgue constant of barycentric rational interpolation at equidistant nodes
• Convergence rates of a family of barycentric osculatory rational interpolation
• Convergence rates of derivatives of a family of barycentric rational interpolants
• On the Lebesgue constant of Berrut's rational interpolant at equidistant nodes
• Hermite interpolation: The barycentric approach
• On the order of magnitude of fundamental polynomials of Hermite interpolation
• An iterative approach to barycentric rational Hermite interpolation
• On the Lebesgue constant of barycentric rational Hermite interpolants at equidistant nodes
• Convergence rates of a Hermite generalization of Floater-Hormann interpolants
• Barycentric rational interpolation with no poles and high rates of approximation
• Linear Rational Finite Differences from Derivatives of Barycentric Rational Interpolants
• MPFR
• Convergence of Linear Barycentric Rational Interpolation for Analytic Functions

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