Weighted \(L^ p\) approximation by modified Hermite interpolation of higher order (Q1346281)
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scientific article; zbMATH DE number 736853
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weighted \(L^ p\) approximation by modified Hermite interpolation of higher order |
scientific article; zbMATH DE number 736853 |
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Weighted \(L^ p\) approximation by modified Hermite interpolation of higher order (English)
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1994
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Necessary and sufficient conditions for weighted \(L^ p\) convergence at given rates of Hermite interpolation of higher order are given. This process is based on Jacobi zeros and the endpoints \(\pm 1\). Theorems on simultaneous approximation are also proved.
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weighted \(L^ p\) convergence
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Jacobi polynomials
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Hermite interpolation
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