A formula for the error of finite sinc interpolation with an even number of nodes
- Berrut, Jean-Paul Department of Mathematics, University of Fribourg, Switzerland
-
2010
Published in:
- Numerical Algorithms. - 2010, vol. 56, no. 1, p. 143-157
English
Sinc interpolation is a very efficient infinitely differentiable approximation scheme from equidistant data on the infinite line. We give a formula for the error committed when the function neither decreases rapidly nor is periodic, so that the sinc series must be truncated for practical purposes. To do so, we first complete a previous result for an odd number of points, before deriving a formula for the more involved case of an even number of points.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
-
- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
-
- RERO DOC 17431
- DOI 10.1007/s11075-010-9378-9
- Persistent URL
- https://folia.unifr.ch/unifr/documents/301513
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