RT Journal Article
T1 A note on Lagrange interpolation of |x| on the Chebyshev and Chebyshev–Lobatto nodal systems: the even cases
A1 Berriochoa Esnaola, Elias Manuel Maria
A1 Cachafeiro López, María Alicia
A1 García Rábade, Héctor
A1 García Amor, José Manuel
K1 1202.02 Teoría de la Aproximación
K1 1202 Análisis y Análisis Funcional
K1 1201.13 Polinomios
AB 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 function |x| on [−1,1], using Chebyshev and Chebyshev–Lobatto nodal systems with an even number of points. Moreover, with respect to the odd cases, relevant changes in the shape and the extrema of the error are given.
PB Mathematics
SN 22277390
YR 2022
FD 2022-07-22
LK http://hdl.handle.net/11093/3735
UL http://hdl.handle.net/11093/3735
LA eng
NO Mathematics, 10(15): 2558 (2022)
NO Ministerio de Ciencia e Innovación, España | Ref. PID2020-116764RB-I00
DS Investigo
RD 21-abr-2025