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Polyharmonic cardinal Hermite spline interpolation

Posted on:1992-12-17Degree:Ph.DType:Dissertation
University:The University of ConnecticutCandidate:Chang, MaoliFull Text:PDF
GTID:1470390014499729Subject:Mathematics
Abstract/Summary:
Polyharmonic cardinal splines introduced in (7) are believed to be a truly multi-variate analogue of the cardinal splines. The results of (7), concerning polyharmonic cardinal spline interpolation of data of power growth, are here extended to the case of Hermite interpolation. An explicit representation formula for the Hermitian fundamental splines (Lagrangians) is presented and the properties of the corresponding Lagrange-series are discussed.
Keywords/Search Tags:Cardinal, Splines
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