An estimate for multivariate interpolation (Q762696)
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scientific article; zbMATH DE number 3890064
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An estimate for multivariate interpolation |
scientific article; zbMATH DE number 3890064 |
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An estimate for multivariate interpolation (English)
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1985
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An estimate of the \(L^ p=L^ p(R^ n)\) norm of a function is given in terms of its values on a (not necessarily regular) grid of points and the \(L^ p\) norms of its k-th order derivatives, \(kp>n\). The result is useful in obtaining estimates for multivariate interpolation schemes; this is illustrated by an example involving generalized splines.
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\(L^ p\)-estimates
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multivariate interpolation schemes
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example
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generalized splines
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