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Splines and their properties and applications. A spline is a function defined piecewise by polynomials, and is typically used in interpolating problems.

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Splines with bounded first derivative?

I have a set of points $(x_i,y_i)\in{\mathbb R}_+\times{\mathbb R}$, $i=1,...,n$, ($x_i$ are the independent variables and $y_i$ are the dependent variables or responses) that I want to fit using splines