Shape preserving rational spline interpolation
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A rational cubic function is presented which has shape preserving interpolation properties. It is shown that the rational cubic can be used to construct C2 rational spline interpolants to monotonic or convex sets of data which are defined on a partition x1 < x2 < … < xn of the real interval [x1, xn].
KeywordsSpectral Radius Convex Constraint Convexity Condition Consistency Equation SHAPE Preserve
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