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Displaying similar documents to “A variational approach to spline functions theory.”

Splines in Numerical Integration

Udovičić, Zlatko (2010)

Mathematica Balkanica New Series

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AMS Subj. Classification: 65D07, 65D30. We gave a short review of several results which are related to the role of splines (cardinal, centered or interpolating) in numerical integration. Results deal with the problem of approximate computation of the integrals with spline as a weight function, but also with the problem of approximate computation of the integrals without weight function. Besides, we presented an algorithm for calculation of the coefficients of the polynomials...

Penalized Least Squares Fitting

von Golitschek, Manfred, Schumaker, Larry (2002)

Serdica Mathematical Journal

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* 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.