Connection Between Smoothing Problems with Obstacles and Weights |
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| Authors: | Evely Leetma Peeter Oja |
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| Institution: | 1. Institute of Mathematics , Tartu University , Tartu , Estonia evely.leetma@ut.ee;3. Institute of Mathematics , Tartu University , Tartu , Estonia |
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| Abstract: | We study how to reduce the smoothing problems with obstacles to the solution of smoothing problems with weights. We prove that, for problems with obstacles in Hilbert spaces, and in the classical case, especially, in several variable problems, the associated Lagrangian has a saddle point. This implies the existence of equivalent problems with weights. |
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| Keywords: | Multivariate natural spline Spline Smoothing problem Saddle point |
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