Geodesic
Shape preservation conditions under interpolation by Subbotin's parabolic splines
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 4, pp. 102-113

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Parabolic splines are applied to solve an interpolation problem with the conditions of preserving the piecewise monotonicity and convexity. Sufficient conditions are established for the piecewise monotonicity and convexity of Subbotin's quadratic interpolation splines, and numerical examples are given.
Keywords: quadratic spline, shape preservation.
Mots-clés : interpolation 
@article{TIMM_2016_22_4_a10,
     author = {V. V. Bogdanov and Yu. S. Volkov},
     title = {Shape preservation conditions under interpolation by {Subbotin's} parabolic splines},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {102--113},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2016_22_4_a10/}
}
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V. V. Bogdanov; Yu. S. Volkov. Shape preservation conditions under interpolation by Subbotin's parabolic splines. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 4, pp. 102-113. http://geodesic.mathdoc.fr/item/TIMM_2016_22_4_a10/