Lower bounds for spline approximation
Complete Spline Smoothing.
Fitting scattered data on spherelike surfaces using tensor products of trigonometric and polynomial splines.
On the Dimension of Bivariate Spline Spaces of Smoothness r and Degree d = 3r + 1.
Penalized Least Squares Fitting
* Supported by the Army Research Office under grant DAAD-19-02-10059. Bounds on the error of certain penalized least squares data fitting methods are derived. In addition to general results in a fairly abstract setting, more detailed results are included for several particularly interesting special cases, including splines in both one and several variables.
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