RT Journal Article
T1 The Gibbs–Wilbraham phenomenon in the approximation of
 
 
 |
 x
 |
 
 
 by using Lagrange interpolation on the Chebyshev–Lobatto nodal systems
A1 Berriochoa Esnaola, Elias Manuel Maria
A1 Cachafeiro López, María Alicia
A1 Garcia Amor, Jose Manuel
A1 García Rábade, Héctor
K1 1202 Análisis y Análisis Funcional
K1 1202.23 Funciones Especiales
AB Along this study we find and deeply analyze a new Gibbs phenomenon. As far aswe know, this type of behavior, in different contexts, is connected with functionshaving jump discontinuities. In our case it is related to the behavior of the Lagrangeinterpolation polynomials of the continuous absolute value function. Our study is relatedto the error of the Lagrange polynomial interpolants of the function |x| on [−1, 1]taking as nodal system the m + 2 nodes of the extended Chebyshev polynomial of thesecond kind, obtaining that the error behaves like a function of order O(1/m). A detaileddescription and approximation of the function is presente.
PB Journal of Computational and Applied Mathematics
SN 03770427
YR 2022
FD 2022-11
LK http://hdl.handle.net/11093/3497
UL http://hdl.handle.net/11093/3497
LA eng
NO Journal of Computational and Applied Mathematics, 414, 114403 (2022)
NO Financiado para publicación en acceso aberto: Universidade de Vigo/CISUG
DS Investigo
RD 16-sep-2024