Lebesgue constants for some interpolating \(L\)-splines (Q721521)
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scientific article; zbMATH DE number 6908531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lebesgue constants for some interpolating \(L\)-splines |
scientific article; zbMATH DE number 6908531 |
Statements
Lebesgue constants for some interpolating \(L\)-splines (English)
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19 July 2018
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The author considers interpolating splines that are bounded on the real axis, have equidistant knots, and correspond to linear differential operators of the form \(\mathcal{L}_3 := D(D^2+\alpha^2)\), where \(\alpha > 0\). Exact values for the uniform Lebesgue constant of such splines are found and compared to the Lebesgue constants of other \(\mathcal{L}\)-splines.
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interpolation
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splines
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Lebesgue constant
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0.9515976
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0.9475075
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0.93662924
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0.9229251
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0.9209558
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0.9188379
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