Geodesic
Splines for four-point rational interpolants
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 4, pp. 233-246 Cet article a éte moissonné depuis la source Math-Net.Ru

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For continuous functions, we construct four-point rational interpolants and, for them, rational interpolation splines. For continuous functions, continuously differentiable functions, and their derivatives up to the second order, we obtain convergence bounds for such splines and their derivatives.
Keywords: splines, rational splines.
Mots-clés : interpolation splines 
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A.-R. K. Ramazanov; V. G. Magomedova. Splines for four-point rational interpolants. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 4, pp. 233-246. http://geodesic.mathdoc.fr/item/TIMM_2016_22_4_a21/

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