Interpolation and superpositions of multivariate continuous functions (Q351657)
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scientific article; zbMATH DE number 6185233
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Interpolation and superpositions of multivariate continuous functions |
scientific article; zbMATH DE number 6185233 |
Statements
Interpolation and superpositions of multivariate continuous functions (English)
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8 July 2013
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The author proves that the possibility of continuous functions interpolation, with relatively sparse interpolation nodes, but with high accuracy, leads to obtaining results on the impossibility of representing continuous functions in a certain class, by superpositions of continuous functions in a possibly different class. The relationship between the number of interpolation nodes and the approximation accuracy lies at the heart of his approach.
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multivariate function
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continuous function
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superposition
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representation
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interpolation
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