145 citations · 843 across the 63 of their papers we have counts for
4 papers · 2 filters
Riemann-Hilbert analysis for a Nikishin system
Guillermo López Lagomasino, Walter Van Assche
In this paper we give the asymptotic behavior of type I multiple orthogonal polynomials for a Nikishin system of order two with two disjoint intervals. We use the Riemann-Hilbert p…
Majorization results for zeros of orthogonal polynomials
Walter Van Assche
We show that the zeros of consecutive orthogonal polynomials and are linearly connected by a doubly stochastic matrix for which the entries are explicitly computed…
Simultaneous Gaussian quadrature for Angelesco systems
Doron S. Lubinsky, Walter Van Assche
We investigate simultaneous Gaussian quadrature for two integrals of the same function but on two disjoint intervals. The quadrature nodes are zeros of a type II multiple ortho…
Alpert multiwavelets and Legendre-Angelesco multiple orthogonal polynomials
Jeffrey S. Geronimo, Plamen Iliev, Walter Van Assche
We show that the multiwavelets, introduced by Alpert in 1993, are related to type I Legendre-Angelesco multiple orthogonal polynomials. We give explicit formulas for these Legendre…