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Approximation order of bivariate spline interpolation for arbitrary smoothness

✍ Scribed by O.V. Davydov; G. Nürnberger; F. Zeilfelder

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
893 KB
Volume
90
Category
Article
ISSN
0377-0427

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✦ Synopsis

By using the algorithm of Nfimberger and Riessinger (1995), we construct Hermite interpolation sets for spaces of bivariate splines Sq(d 1 ) of arbitrary smoothness defined on the uniform type triangulations. It is shown that our Hermite interpolation method yields optimal approximation order for q >~ 3.5r + 1. In order to prove this, we use the concept of weak interpolation and arguments of Birkhoff interpolation.

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