Displaying similar documents to “On the theorem of Géza Grünwald and Józef Marcinkiewicz”

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

Elías Berriochoa, Alicia Cachafeiro, Jaime Díaz, Eduardo Martínez (2016)

Open Mathematics

Similarity:

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.

A numerical study of Newton interpolation with extremely high degrees

Michael Breuß, Friedemann Kemm, Oliver Vogel (2018)

Kybernetika

Similarity:

In current textbooks the use of Chebyshev nodes with Newton interpolation is advocated as the most efficient numerical interpolation method in terms of approximation accuracy and computational effort. However, we show numerically that the approximation quality obtained by Newton interpolation with Fast Leja (FL) points is competitive to the use of Chebyshev nodes, even for extremely high degree interpolation. This is an experimental account of the analytic result that the limit distribution...