Characterization of the Chebyshev spline of best approximation in nonsymmetric \(L_ 1(a,b)\) norm with the positive weight for a class of continuous functions (Q1311193)
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scientific article; zbMATH DE number 484335
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterization of the Chebyshev spline of best approximation in nonsymmetric \(L_ 1(a,b)\) norm with the positive weight for a class of continuous functions |
scientific article; zbMATH DE number 484335 |
Statements
Characterization of the Chebyshev spline of best approximation in nonsymmetric \(L_ 1(a,b)\) norm with the positive weight for a class of continuous functions (English)
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13 February 1994
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A criterion of optimality for an element of the best \((\alpha,\beta)\)- approximation with the positive weight and a characterization of the Chebyshev spline of the best \((d,p)\) approximation with the positive weight in nonsymmetric \(L_ 1(a,b)\) norm for a class of continuous functions (where \(L_ 1(a,b)\) is the space of measurable and summable functions on the segment \([a,b])\) are given in this paper.
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\((\alpha,\beta)\)-approximation
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Chebyshev spline
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