Orthogonal polynomials for exponential weights x2ρe-2Q(x) on [0,d), II

In Honor of Barry Simon's 60th Birthday
https://doi.org/10.1016/j.jat.2005.05.010Get rights and content
Under an Elsevier user license
open archive

Abstract

Let I=[0,d), where d is finite or infinite. Let Wρx=xρexp-Qx, where ρ>-12 and Q is continuous and increasing on I, with limit at d. We obtain further bounds on the orthonormal polynomials associated with the weight Wρ2, finer spacing on their zeros, and estimates of their associated fundamental polynomials of Lagrange interpolation. In addition, we obtain weighted Markov and Bernstein inequalities.

Cited by (0)