Jackson-Favard type problems for the weight \(\exp(-|x|)\) on the real line (Q2304268)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Jackson-Favard type problems for the weight \(\exp(-|x|)\) on the real line |
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Jackson-Favard type problems for the weight \(\exp(-|x|)\) on the real line (English)
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9 March 2020
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It is shown that the Jackson-Favard inequality on polynomial approximation with respect to the weight \(\exp (-\vert x \vert )\) fails to hold for higher derivatives, while a Lubinsky type modification of Jackson-Favard inequality can be established for higher derivatives.
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weight
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modulus of smoothness
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Jackson-Favard type estimate
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polynomial approximation
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