Valerii T. Shevaldin, “Calibration relations for analogues of the basis splines with uniform nodes”, Ural Math. J., 2017, Volume 3, Issue 1,Pages <nobr>76

Calibration relations for analogues of the basis splines with uniform nodes

Valerii T. Shevaldin^ab

^a N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
^b Ural Federal University, Ekaterinburg, Russia

Abstract: The paper deals with generalized linear and parabolic $B$–splines with the uniform nodes constructed by means only one function $\varphi(x)$. For such splines in this paper conditions have been found that guarantee satisfaction of two–scale relations.

Keywords: $B$-spline, uniform nodes, two-scale relations.

Language: English

DOI: 10.15826/umj.2017.1.006