A note on the rate of convergence for Chebyshev-Lobatto and Radau systems

Abstract

This paper is devoted to Hermite interpolation with Chebyshev-Lobatto and Chebyshev-Radau nodal points. The aim of this piece of work is to establish the rate of convergence for some types of smooth functions. Although the rate of convergence is similar to that of Lagrange interpolation, taking into account the asymptotic constants that we obtain, the use of this method is justified and it is very suitable when we dispose of the appropriate information.

Keywords

• hermite interpolation
• chebyshev polynomials
• chebyshev-lobatto nodal points
• chebyshev-radau nodal points
• rate of convergence
• 41a05
• 65d05
• 41a25
• 65m60