Geodesic
Asymptotic behavior of the~$L^p$-norms and the~entropy for general orthogonal polynomials
Sbornik. Mathematics, Tome 82 (1995) no. 2, pp. 373-395

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The limit behavior of the sequence of $L^p$-norms of orthogonal polynomials is studied. Orthogonal polynomials on both a finite interval and the entire real line are considered. As a corollary, asymptotic formulas for entropy integrals containing orthogonal polynomials are obtained. 
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     author = {A. I. Aptekarev and V. S. Buyarov and I. S. Degeza},
     title = {Asymptotic behavior of the~$L^p$-norms and the~entropy for general orthogonal polynomials},
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A. I. Aptekarev; V. S. Buyarov; I. S. Degeza. Asymptotic behavior of the~$L^p$-norms and the~entropy for general orthogonal polynomials. Sbornik. Mathematics, Tome 82 (1995) no. 2, pp. 373-395. http://geodesic.mathdoc.fr/item/SM_1995_82_2_a8/