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Best Error Estimates for Discrete Abel-Gontscharoff Interpolation

✍ Scribed by Patricia J.Y. Wong

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
144 KB
Volume
97
Category
Article
ISSN
0021-9045

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✦ Synopsis

In this paper we offer the best possible error estimates for discrete Abel-Gontscharoff interpolation. As an application, these error bounds are used to provide tests for the right disfocality as well as disconjugacy for higher order difference equations.

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This paper considers the variational problem of Hermite interpolation and its error bounds. The optimal Hermite interpolant, which minimises the semi-norm of the reproducing kernel Hilbert space C h determined by given r-CPD m function h, is just the h-spline Hermite interpolant. The results on erro