Dirichlet splines as fractional integrals of \(B\)-splines (Q1415036)
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scientific article; zbMATH DE number 2012107
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dirichlet splines as fractional integrals of \(B\)-splines |
scientific article; zbMATH DE number 2012107 |
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Dirichlet splines as fractional integrals of \(B\)-splines (English)
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3 December 2003
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The definition of a divided difference is generalized to divided differences with a continuous parameter in \(\mathbb R^{k+1}_+\). The special case when the parameter's components are integral corresponds to divided differences with multiple knots. For this, so-called Dirichlet averages are used. A relation to \(B\)-splines via fractional derivatives is established too.
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Dirichlet averages
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Dirichlet splines
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divided differences
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B-splines
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Dirichlet distribution
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fractional integrals
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fractional derivatives
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