Geodesic
Convex interpolation by rational spline functions of class $ C ^ 2 $
Daghestan Electronic Mathematical Reports, Tome 9 (2018), pp. 62-67

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Sufficient conditions are established for the convexity of interpolation rational spline-functions of the class $C^2$.
Keywords: convex interpolation, interpolation splines, rational spline-functions. 
@article{DEMR_2018_9_a6,
     author = {A.-R. K. Ramazanov and V. G. Magomedova},
     title = {Convex interpolation by rational spline functions of class $ C ^ 2 $},
     journal = {Daghestan Electronic Mathematical Reports},
     pages = {62--67},
     publisher = {mathdoc},
     volume = {9},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DEMR_2018_9_a6/}
}
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A.-R. K. Ramazanov; V. G. Magomedova. Convex interpolation by rational spline functions of class $ C ^ 2 $. Daghestan Electronic Mathematical Reports, Tome 9 (2018), pp. 62-67. http://geodesic.mathdoc.fr/item/DEMR_2018_9_a6/