Journal of Computational and Applied Mathematics vol:178 issue:1-2 pages:453-464
Orthogonal polynomials, Special functions and Applications (OPSFA) edition:7 location:(Copenhagen, Denmark date:18--22 August 2003
We prove a weak-star convergence result for orthogonal rational functions on the interval [- 1, 1] which generalizes a well-known result by Rakhmanov (Math. USSR-Sb. 32(1977) 199). As an application, we use this result to approximate a certain integral which occurs in the computation of orthogonal rational functions.