Convergence rates of a family of barycentric osculatory rational interpolation

DOI10.1007/s12190-015-0962-yzbMath1360.41006OpenAlexW2292951666MaRDI QIDQ513492

Gongqin Zhu, Ning Kang, Ke Jing

Publication date: 7 March 2017

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

Full work available at URL: https://doi.org/10.1007/s12190-015-0962-y

zbMATH Keywords

convergence raterational approximationHermite interpolationbarycentric formosculatory rational interpolation function

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Rate of convergence, degree of approximation (41A25)

Related Items

An iterative approach to barycentric rational Hermite interpolation ⋮ Convergence rates of a family of barycentric rational Hermite interpolants and their derivatives ⋮ Convergence rates of a Hermite generalization of Floater-Hormann interpolants ⋮ A convergent family of bivariate Floater-Hormann rational interpolants

Cites Work

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• Hermite interpolation: The barycentric approach
• Vector valued Thiele-Werner-type osculatory rational interpolants.
• A new approach to vector-valued rational interpolation
• Barycentric rational interpolation with no poles and high rates of approximation
• Algebraic properties of some new vector-valued rational interpolants
• On the Osculatory Rational Interpolation Problem
• Barycentric Lagrange Interpolation
• Note on Osculatory Rational Interpolation
• A practical guide to splines.

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