An interpolation problem on the circle between Lagrange and Hermite problems
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Publication:505903
DOI10.1016/J.JAT.2016.12.004zbMath1357.41013OpenAlexW2567012986MaRDI QIDQ505903
J. M. García Amor, Alicia Cachafeiro, Elías Berriochoa
Publication date: 26 January 2017
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2016.12.004
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25)
Related Items (4)
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Uses Software
Cites Work
- Gibbs phenomenon in the Hermite interpolation on the circle
- Algorithms for solving Hermite interpolation problems using the fast Fourier transform
- Polynomial algebra for Birkhoff interpolants
- A new modification of the Hermite-Fejer interpolation
- Reflection coefficients for the generalized Jacobi weight functions
- \((0,m)\) Pál-type interpolation: interchanging value- and derivative-nodes
- A two-parameter family of orthogonal polynomials with respect to Jacobi-type weight on the unit circle
- Convergence of Hermite interpolants on the circle using two derivatives
- On general Hermite trigonometric interpolation
- Pál-type Birkhoff interpolation on nonuniformly distributed points
- The numerical stability of barycentric Lagrange interpolation
- A Graduate Introduction to Numerical Methods
- A note on Hermite-Fejér interpolation for the unit circle
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