Piecewise coapproximation and the Whitney inequality. (Q1583967)
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scientific article; zbMATH DE number 1523561
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Piecewise coapproximation and the Whitney inequality. |
scientific article; zbMATH DE number 1523561 |
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Piecewise coapproximation and the Whitney inequality. (English)
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2000
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The \(q\)-monotone approximation of a function \(f\) can be qualified by means of Whitney-type or Jackson-type inequality involving the modulus of continuity of \(f^{(q)}\). The authors list all cases where the Whitney estimates are true and where they are invalidated for the piecewise coconvex \((q=2)\) approximation. Some negative results for the Jackson inequality with arbitrary \(q\) are also proved.
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piecewise coconvex approximation
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Whitney and Jackson inequalities
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