Approximation power of smooth bivariate pp functions (Q1821281)
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scientific article; zbMATH DE number 3998407
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation power of smooth bivariate pp functions |
scientific article; zbMATH DE number 3998407 |
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Approximation power of smooth bivariate pp functions (English)
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1988
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Bivariate piecewise polynomials in \(C^{\rho}\) of degree \(\leq k\) on some triangulation \(\Delta\) are shown to approximation to smooth functions to within \(| \Delta | ^{k+1}\) if \(k>3\rho +1\). The argument makes essential use of the Bernstein-Bézier polynomial form.
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bivariate piecewise polynomials
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smooth functions
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Bernstein-Bézier
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polynomial form
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