A Note on Lagrange Interpolation of |<i>x</i>| on the Chebyshev and Chebyshev–Lobatto Nodal Systems: The Even Cases

A Note on Lagrange Interpolation of |<i>x</i>| on the Chebyshev and Chebyshev–Lobatto Nodal Systems: The Even Cases

Throughout this study, we continue the analysis of a recently found out Gibbs–Wilbraham phenomenon, being related to the behavior of the Lagrange interpolation polynomials of the continuous absolute value function. Our study establishes the error of the Lagrange polynomial interpolants of the functi...

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Bibliographic Details
Main Authors: Elías Berriochoa, Alicia Cachafeiro, Héctor García-Rábade, José Manuel García-Amor
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Mathematics
Subjects:
Lagrange interpolation
Chebyshev nodal systems
Chebyshev–Lobatto nodal systems
absolute value approximation
rate of convergence
Gibbs–Wilbraham phenomena
Online Access:https://www.mdpi.com/2227-7390/10/15/2558

Internet

https://www.mdpi.com/2227-7390/10/15/2558

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