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Cardinal Hermite Spline Interpolation: Convergence as the Degree Tends to Infinity

โœ Scribed by M. J. Marsden and S. D. Riemenschneider


Book ID
125680184
Publisher
American Mathematical Society
Year
1978
Tongue
English
Weight
635 KB
Volume
235
Category
Article
ISSN
0002-9947

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The Behavior of Polyharmonic Cardinal Sp
โœ M.L. Chang ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.