Geodesic
On Lebesgue constants of local parabolic splines
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 1, pp. 213-219

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Lebesgue constants (the norms of linear operators from $C$ to $C$) are calculated exactly for local parabolic splines with an arbitrary arrangement of knots, which were constructed by the second author in 2005, and for N.P. Korneichuk's local parabolic splines, which are exact on quadratic functions. Both constants are smaller than the constants for interpolation parabolic splines.
Keywords: Lebesgue constants; local parabolic splines; arbitrary knots. 
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     title = {On {Lebesgue} constants of local parabolic splines},
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E. V. Strelkova; V. T. Shevaldin. On Lebesgue constants of local parabolic splines. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 1, pp. 213-219. http://geodesic.mathdoc.fr/item/TIMM_2015_21_1_a21/