Chebyshev's approximation algorithms and applications

  1. Hernández, M.A. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Computers & Mathematics with Applications

ISSN: 0898-1221

Año de publicación: 2001

Volumen: 41

Número: 3

Páginas: 433-445

Tipo: Artículo

DOI: 10.1016/S0898-1221(00)00286-8 SCOPUS: 2-s2.0-0035251697 WoS: WOS:000166807700016 GOOGLE SCHOLAR

Otras publicaciones en: Computers & Mathematics with Applications

Resumen

We introduce a new family of multipoint methods to approximate a solution of a nonlinear operator equation in Banach spaces. An existence-uniqueness theorem and error estimates are provided for these iterations using a technique based on a new system of recurrence relations. To finish, we apply the results obtained to some nonlinear integral equations of the Fredholm type.