Weak convergence of orthogonal polynomials

1994/01/21 by Walter Van Assche, Van Assche, Walter · 1 citation
Mathematics · #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.math/9401209

openalex publication_date 1994/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The weak convergence of orthogonal polynomials is given under conditions on the asymptotic behaviour of the coefficients in the three-term recurrence relation. The results generalize known results and are applied to several systems of orthogonal polynomials, including orthogonal polynomials on a finite set of points.

Cited by

• On the finiteness of logarithmic Hamiltonians for Volterra-type lattices in terms of the spectral measures of Jacobi operators

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