Asymptotic behavior of orthogonal trigonometric polynomials of semi-integer degree (Q387688)
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scientific article; zbMATH DE number 6242154
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior of orthogonal trigonometric polynomials of semi-integer degree |
scientific article; zbMATH DE number 6242154 |
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Asymptotic behavior of orthogonal trigonometric polynomials of semi-integer degree (English)
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23 December 2013
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trigonometric polynomials
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semi-integer degree
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orthogonality
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asymptotic behavior
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The authors study the asymptotic behavior of orthogonal trigonometric polynomials of semi-integer degree with respect to a strictly positive weight function satisfying the Lipschitz-Dini condition.NEWLINENEWLINESuch orthogonal systems are connected with quadrature rules with an even maximal trigonometric degree of exactness, which have application in numerical integration of \(2p\)-periodic functions.
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