Expansion by polynomials with respect to Freud-type weights (Q695111)
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scientific article; zbMATH DE number 6117542
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Expansion by polynomials with respect to Freud-type weights |
scientific article; zbMATH DE number 6117542 |
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Expansion by polynomials with respect to Freud-type weights (English)
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20 December 2012
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For the expansion by orthogonal polynomials with respect to the Freud weights, analogues of the Hausdorff-Young and the Hardy-Littlewood inequalities are proved. The special cases of expansion by Hermite functions \((a=2)\), which are new as well, are given explicitly.
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Freud-type weights
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orthogonal polynomials
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Hausdorff-Young inequality Hardy-Littlewood inequality
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