Asymptotics of entropy integrals for orthogonal polynomials (Q1374990)
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scientific article; zbMATH DE number 1099455
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotics of entropy integrals for orthogonal polynomials |
scientific article; zbMATH DE number 1099455 |
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Asymptotics of entropy integrals for orthogonal polynomials (English)
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5 January 1998
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Let \(p_n\) be the polynomials that are orthogonalized with respect to the measure \(d\mu\). In this paper the authors obtain certain results concerning the asymptotic behavior of entropy of orthogonal polynomials which is denoted as \(S_n(\mu)= -\int p^2_n(x) \ln p^2_n (x)d \mu(x)\).
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entropy integral
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orthogonal polynomials
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