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

Author:

Berriochoa Elías1,Cachafeiro Alicia2,Díaz Jaime3,Martínez Eduardo4

Affiliation:

1. 1Departamento de Matemática Aplicada I, Facultad de Ciencias, Universidad de Vigo, Ourense, Spain

2. 2Departamento de Matemática Aplicada I, E. Ingeniería Industrial, Universidad de Vigo, 36310 Vigo, Spain

3. 3Departamento de Matemática Aplicada I, E. Ingeniería Industrial, Universidad de Vigo, 36310 Vigo, Spain

4. 4Departamento de Matemática Aplicada I, E. Ingeniería Industrial, Universidad de Vigo, 36310 Vigo, Spain

Abstract

AbstractThis 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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3. The extended Hermite - Fejér interpolation formula with application to the theory of generalized almost - step parabolas SzászPThe extended Hermite - Fejér interpolation formula with application to the theory of generalized almost - step parabolasPubl;Szász;Publ Math Debrecen Math Debrecen,1964

4. The Hermite - Fejér process on the Tchebycheff matrix of second kind BThe Hermite - Fejér process on the Tchebycheff matrix of second kindStud;Saxena;Stud Sci Math Hungar Sci MathHungar,1974

5. On quasi - Hermite - Fejér interpolation SzászPOn quasi - Hermite - Fejér interpolationActa Math;Szász;Acta Math Acad Sci Hungar Acad Sci Hungar,1959

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