Application of half-derivatives in numerical analysis
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 1, pp. 3-17

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Generalized concepts of the Lipschitz constant and the divided difference are used to develop a technique for analyzing numerical methods. Based on the technique, new results are obtained concerning error estimation for a nonlinear equation in a Banach space.
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     title = {Application of half-derivatives in numerical analysis},
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S. E. Miheev. Application of half-derivatives in numerical analysis. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 1, pp. 3-17. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_1_a0/