V. T. Shevaldin, “Two-scale relations for analogs of basis splines of small degrees”, Trudy Inst. Mat. i Mekh. UrO RAN, 2011, Volume 17, Number 3,Pages <nobr>319

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Two-scale relations for analogs of basis splines of small degrees

V. T. Shevaldin^ab

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
^b Ural Federal University

Abstract: 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.

UDC: 517.5

Received: 14.03.2011