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On Hermite-fejer Type Interpolation on the Chebyshev Nodes
| Content Provider | Semantic Scholar |
|---|---|
| Author | Byrne, Graeme J. Mills, Thomas M. Smith, Simon Graham Jeremy |
| Copyright Year | 2008 |
| Abstract | ON HERMITE-FEJER TYPE INTERPOLATION ON THE CHEBYSHEV NODES GRAEME J. BYRNE, T.M. MILLS AND SIMON J. SMITH Given / £ C[-l, 1], let Hn,3(f,x) denote the (0,1,2) Hermite-Fejer interpolation polynomial of / based on the Chebyshev nodes. In this paper we develop a precise estimate for the magnitude of the approximation error |£Tn,s(/,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. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://core-cms.prod.aop.cambridge.org/core/services/aop-cambridge-core/content/view/892E78B0565BA07D480FE4A4C0ACBE04/S0004972700012223a.pdf/on_hermitefejer_type_interpolation_on_the_chebyshev_nodes.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Approximation error Chebyshev nodes Emoticon Harlan Mills Interpolation Imputation Technique Polynomial |
| Content Type | Text |
| Resource Type | Article |
