Bounds for orthogonal polynomials for exponential weights (Q1298588)
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scientific article; zbMATH DE number 1326388
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounds for orthogonal polynomials for exponential weights |
scientific article; zbMATH DE number 1326388 |
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Bounds for orthogonal polynomials for exponential weights (English)
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8 November 1999
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The authors investigate orthogonal polynomials \(p_n(W^2,x)\) for exponential weights \(W^2=e^{-2Q}\), \(Q\) satisfies some smoothness conditions on a finite or infinite interval \(I\). Some estimates for density functions, Christoffel functions are given asymptotically. They also provide the Markov-Bernstein inequalities and the asymptotics for largest and smallest zeros of \(p_n(W^2,x)\). Their deepest result are bounds for orthogonal polynomials.
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orthogonal polynomials
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exponential weights
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0.98151845
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0.94148934
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0.9370166
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0.93518966
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0.9338823
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0.9220936
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