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Chebyshev's approximation algorithms and applications

✍ Scribed by M.A. Hernández

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
655 KB
Volume
41
Category
Article
ISSN
0898-1221

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✦ Synopsis

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.

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