Geodesic
Two-scale relations for analogs of basis splines of small degrees
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 3, pp. 319-323
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For generalized linear and parabolic $B$-splines with uniform knots constructed with the help of only one function $\varphi(x)$, conditions are found that guarantee the validity of two-scale relations for these splines.
Keywords: $B$-spline, uniform knots, two-scale relation. 
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V. T. Shevaldin. Two-scale relations for analogs of basis splines of small degrees. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 3, pp. 319-323. http://geodesic.mathdoc.fr/item/TIMM_2011_17_3_a31/

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