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Polyharmonic cardinal splines: A minimization property

✍ Scribed by W.R Madych; S.A Nelson

Book ID
107777082
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
828 KB
Volume
63
Category
Article
ISSN
0021-9045

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Polyharmonic cardinal splines
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The Behavior of Polyharmonic Cardinal Splines as Their Degree Tends to Infinity
✍ M.L. Chang πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 353 KB

The behavior of cardinal splines interpolating elements of \(l_{2}^{k}\) as their degree tends to infinity in \(R^{1}\) has been determined by I. J. Schoenberg in the 1970s. In this paper we consider the generalized problem in \(R^{n}\) by replacing cardinal splines by polyharmonic cardinal splines.