Article thumbnail

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

By Eli Levin and Doron Lubinsky

Abstract

AbstractLet 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

Publisher: Elsevier Inc.
Year: 2006
DOI identifier: 10.1016/j.jat.2005.05.010
OAI identifier:

Suggested articles


To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.