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Schoenberg's exponential Euler spline curves*

Published online by Cambridge University Press:  14 November 2011

K. Jetter ,
S. D. Riemenschneider  and
N. Sivakumar
K. Jetter
Affiliation:
Fachbereich Mathematik, Universität Duisburg, Lotharstraße 65, 4100 Duisburg 1, Federal Republic of Germany
S. D. Riemenschneider
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, Alberta, T6G2G1, Canada
N. Sivakumar
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, Alberta, T6G2G1, Canada
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Synopsis

The exponential Euler spline curves of Schoenberg are used to derive the correctness of cardinal interpolation by shifted univariate B-splines and the “metric condition” on the bi-infinite Toeplitz matrix of interpolation. Additional monotonicity properties of the associated symbol for interpolation in each of its parameters are also given.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 118 , Issue 1-2 , 1991 , pp. 21 - 33
Copyright
Copyright © Royal Society of Edinburgh 1991

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References

4.References

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