Estimates of polynomials orthogonal with respect to the Legendre-Sobolev inner product (Q1277495)
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scientific article; zbMATH DE number 1257004
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimates of polynomials orthogonal with respect to the Legendre-Sobolev inner product |
scientific article; zbMATH DE number 1257004 |
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Estimates of polynomials orthogonal with respect to the Legendre-Sobolev inner product (English)
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12 July 1999
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The uniform and weighted estimates for the Legendre-Sobolev orthonormal polynomials on \([-1,1]\) (see [\textit{H. Bavinck, H. G. Meijer}, Appl. Anal. 33, 103-117 (1989; Zbl 0648.33007)]) are obtained. The growth order of their values and their derivatives at the points \(1\) and \(-1\) are given too.
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Legendre-Sobolev orthogonal polynomials
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Legendre polynomials
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Sobolev weights
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