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

Elías Berriochoa, et al. "A note on the rate of convergence for Chebyshev-Lobatto and Radau systems." Open Mathematics 14.1 (2016): 156-166. <http://eudml.org/doc/276872>.

@article{ElíasBerriochoa2016,
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.},
author = {Elías Berriochoa, Alicia Cachafeiro, Jaime Díaz, Eduardo Martínez},
journal = {Open Mathematics},
keywords = {Hermite interpolation; Chebyshev polynomials; Chebyshev-Lobatto nodal points; Chebyshev-Radau nodal points; Rate of convergence; rate of convergence},
language = {eng},
number = {1},
pages = {156-166},
title = {A note on the rate of convergence for Chebyshev-Lobatto and Radau systems},
url = {http://eudml.org/doc/276872},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Elías Berriochoa
AU - Alicia Cachafeiro
AU - Jaime Díaz
AU - Eduardo Martínez
TI - A note on the rate of convergence for Chebyshev-Lobatto and Radau systems
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 156
EP - 166
AB - 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.
LA - eng
KW - Hermite interpolation; Chebyshev polynomials; Chebyshev-Lobatto nodal points; Chebyshev-Radau nodal points; Rate of convergence; rate of convergence
UR - http://eudml.org/doc/276872
ER -