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

Elías Berriochoa; Alicia Cachafeiro; Jaime Díaz; Eduardo Martínez

Open Mathematics (2016)

- Volume: 14, Issue: 1, page 156-166
- ISSN: 2391-5455

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topElías 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 -

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