Abstract
The purpose of this note is to describe a method for constructing $C^k $ splines of degree $n(0 < k < n - k)$ which interpolate an arbitrary set of data. These splines are obtained using Bernstein polynomials of suitable continuous piecewise linear functions and preserve the monotonicity of the data, i.e., are locally monotone in each subinterval defined by the knots.
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More From: SIAM Journal on Scientific and Statistical Computing
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