Article ID Journal Published Year Pages File Type
1707723 Applied Mathematics Letters 2015 7 Pages PDF
Abstract

We present an explicit representation of a general C2C2 rational quartic interpolation spline with three families of local shape parameters. Sufficient conditions for the proposed interpolant to preserve locally the shape of positive, monotonic, and/or convex set of data are given. The approximation order of the interpolant is O(h2)O(h2) or O(h3)O(h3).

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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