Article contents
On Hermite-Fejér type interpolation on the Chebyshev nodes
Published online by Cambridge University Press: 17 April 2009
Abstract
Given f ∈ C [−1, 1], let Hn, 3(f, x) denote the (0,1,2) Hermite-Fejér interpolation polynomial of f based on the Chebyshev nodes. In this paper we develop a precise estimate for the magnitude of the approximation error |Hn, 3(f, x) − f(x)|. Further, we demonstrate a method of combining the divergent Lagrange and (0,1,2) interpolation methods on the Chebyshev nodes to obtain a convergent rational interpolatory process.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1993
References
- 3
- Cited by