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Error estimation of a kind of rational spline. (English) Zbl 1106.41009
Rational splines with linear denominators as approximations in one dimension are considered. The splines are three times differentiable except at the knots where they are once differentiable. Both construction of the splines as well as their error analysis and convergence are given in the article.
MSC:
41A15Spline approximation
65D18Computer graphics, image analysis, and computational geometry
65D05Interpolation (numerical methods)