Cardinal approximation of functions by splines on an interval

The cardinal interpolant of functions on the real line by splines is determined by certain formula free of solving large or infinite systems. We apply this formula to functions given on the interval [0,1] introducing special extensions of functions from [0,1] into the real line which maintains the o...

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 14; no. 1; pp. 127 - 138
Main Author Vainikko, G.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.01.2009
Vilnius Gediminas Technical University
Subjects
best constants
error estimates
interpolation
splines
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Summary:The cardinal interpolant of functions on the real line by splines is determined by certain formula free of solving large or infinite systems. We apply this formula to functions given on the interval [0,1] introducing special extensions of functions from [0,1] into the real line which maintains the optimal error estimates. The computation of the parameters determining the interpolant costs O(n log n) operations.
ISSN:1392-6292
1648-3510
DOI:10.3846/1392-6292.2009.14.127-138