On Exponential Convergence of Gegenbauer Interpolation and Spectral Differentiation
arXiv:1109.5509
Abstract
This paper is devoted to a rigorous analysis of exponential convergence of polynomial interpolation and spectral differentiation based on the Gegenbauer-Gauss and Gegenbauer-Gauss-Lobatto points, when the underlying function is analytic on and within an ellipse. Sharp error estimates in the maximum norm are derived.
19 pages