Solution of Turán's problem on divergence of Lagrange interpolation in \(L^ p\) with \(p>2\) (Q1056846)
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scientific article; zbMATH DE number 3895577
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solution of Turán's problem on divergence of Lagrange interpolation in \(L^ p\) with \(p>2\) |
scientific article; zbMATH DE number 3895577 |
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Solution of Turán's problem on divergence of Lagrange interpolation in \(L^ p\) with \(p>2\) (English)
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1985
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The purpose of this note is to prove a general result on weighted \(L^ p\) divergence of Lagrange interpolation. Existence of weight functions for which interpolation polynomials diverge in every \(L^ p\) space with \(p>2\) for some continuous function is shown.
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Lagrange interpolation
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weight functions
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interpolation polynomials
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0.90758216
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0.88199484
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0.88152146
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