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Error inequalities for quintic and biquintic discrete Hermite interpolation

โœ Scribed by Fengmin Chen; Patricia J.Y. Wong

Book ID
104007102
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
256 KB
Volume
235
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

In this paper we shall develop a class of discrete Hermite interpolates in one and two independent variables. Further, we offer explicit error bounds in โ„“ โˆž norm for the quintic and biquintic discrete Hermite interpolates. Some numerical examples are included to illustrate the results obtained.

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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