Discrete Cubic Spline Interpolation over a Nonuniform Mesh
نویسنده
چکیده
For i = 1,2, ••• ,n, pi shall denote the length of the mesh interval [xi-i,Xi\. Let p = m.sxi<i<npi and p' = mini<i<n p{. P is said to be a uniform mesh if pi is a constant for all i. Throughout, h will represent a given positive real number. Consider a real function s(x, h) defined over [a,6] which is such that its restriction Si on [XÌ-I,XÌ] is a polynomial of degree 3 or less for i = 1,2, • • • , n. Then s(x, h) defines a discrete cubic spline if
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