Geodesic
On conditions for the convexity of splines with respect to three-point rational interpolants
Daghestan Electronic Mathematical Reports, Tome 8 (2017), pp. 1-6

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Sufficient conditions for the convexity of splines for three-point rational interpolants are established.
Keywords: interpolation splines, rational splines, convex interpolation. 
@article{DEMR_2017_8_a0,
     author = {A.-R. K. Ramazanov and V. G. Magomedova},
     title = {On conditions for the convexity of splines with respect to three-point rational interpolants},
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     publisher = {mathdoc},
     volume = {8},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DEMR_2017_8_a0/}
}
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A.-R. K. Ramazanov; V. G. Magomedova. On conditions for the convexity of splines with respect to three-point rational interpolants. Daghestan Electronic Mathematical Reports, Tome 8 (2017), pp. 1-6. http://geodesic.mathdoc.fr/item/DEMR_2017_8_a0/