Show simple item record

A note on Lagrange interpolation of |x| on the Chebyshev and Chebyshev–Lobatto nodal systems: the even cases

dc.contributor.authorBerriochoa Esnaola, Elias Manuel Maria 
dc.contributor.authorCachafeiro López, María Alicia 
dc.contributor.authorGarcía Rábade, Héctor
dc.contributor.authorGarcía Amor, José Manuel
dc.date.accessioned2022-07-27T11:24:02Z
dc.date.available2022-07-27T11:24:02Z
dc.date.issued2022-07-22
dc.identifier.citationMathematics, 10(15): 2558 (2022)spa
dc.identifier.issn22277390
dc.identifier.urihttp://hdl.handle.net/11093/3735
dc.description.abstractThroughout 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.en
dc.description.sponsorshipMinisterio de Ciencia e Innovación, España | Ref. PID2020-116764RB-I00spa
dc.language.isoengspa
dc.publisherMathematicsspa
dc.relationinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/ES
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.titleA note on Lagrange interpolation of |x| on the Chebyshev and Chebyshev–Lobatto nodal systems: the even casesen
dc.typearticlespa
dc.rights.accessRightsopenAccessspa
dc.identifier.doi10.3390/math10152558
dc.identifier.editorhttps://www.mdpi.com/2227-7390/10/15/2558spa
dc.publisher.departamentoMatemática aplicada Ispa
dc.publisher.grupoinvestigacionTeorías Estándar e Non Estándar de Polinomios Ortogonaisspa
dc.subject.unesco1202.02 Teoría de la Aproximaciónspa
dc.subject.unesco1202 Análisis y Análisis Funcionalspa
dc.subject.unesco1201.13 Polinomiosspa
dc.date.updated2022-07-27T08:27:43Z
dc.computerCitationpub_title=Mathematics|volume=10|journal_number=15|start_pag=2558|end_pag=spa


Files in this item

[PDF]
Name:
Berriochoa_Elías_2022_Not_onl_ ...
Size:
797.4Kb
Format:
PDF
View/Open

    Show simple item record

    Attribution 4.0 International
    Except where otherwise noted, this item's license is described as Attribution 4.0 International