Biorthogonal systems of functionals and decomposition matrices for minimal splines (Q1948544)
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scientific article; zbMATH DE number 6156962
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Biorthogonal systems of functionals and decomposition matrices for minimal splines |
scientific article; zbMATH DE number 6156962 |
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Biorthogonal systems of functionals and decomposition matrices for minimal splines (English)
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24 April 2013
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The author studies the `minimal splines' introduced by Yu. K. Dem'yanovich, which are nonpolynomial generalizations of the usual B-spline functions. First, he obtains a simple construction of a system of linear functionals biorthogonal to the generalized B-spline basis system of `coordinate splines'. Then the associated matrices of spline-wavelet expansions are constructed for nonuniform infinite grids on an open interval and for finite grids on the segment.
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splines
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wavelets
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biorthogonal systems
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decomposition matrices
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reconstruction matrices
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0.91189265
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0.87248576
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0.86818004
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0.8656298
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