Relaxing convergence conditions for an inverse-free Jarratt-type approximation |
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Institution: | Department of Mathematics and Computation, University of La Rioja, C/Luis de Ulloa s/n, 26004, Logroño, Spain |
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Abstract: | We consider an inverse-free Jarratt-type approximation of order four in a Banach space (Argyros et al., 1996). We establish a convergence theorem by using recurrence relations. The purpose of this note is to relax convergence conditions and give an example where our convergence theorem can be applied but not the other ones. |
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