Approximation by generalized splines (Q1103797)
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scientific article; zbMATH DE number 4054224
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation by generalized splines |
scientific article; zbMATH DE number 4054224 |
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Approximation by generalized splines (English)
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1985
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Generalized classes of splines are defined with fixed knots and throughout the paper this splines satisfy a certain interlacing property connected with the solvability of interpolation. The paper deals with the approximation in uniform and \(L_ 1\)-norms, i.e. existence, characterization, uniqueness, strong uniqueness. Uniform approximation is discussed with a class of splines called Chebyshevian splines as well as approximation in the \(L_ 1\)-norm with some applications to the moment problem. The paper is concluded with remarks and numerous references.
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solvability of interpolation
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existence
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characterization
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uniqueness
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strong uniqueness
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Uniform approximation
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Chebyshevian splines
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moment problem
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