Asymptotics of entropy integrals for orthogonal polynomials
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 \(S_n(\mu)= -\int p^2_n(x) \ln p^2_n (x)d \mu(x)\).
scientific article; zbMATH DE number 1099455