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Smoothing spline in a convex closed set of Hilbert space
Published online by Cambridge University Press: 17 April 2009
Extract
A characterisation of a smoothing spline is sought in a convex closed set C of Hilbert space: , T and A are linear operators. A representation of the solution is obtained in the terms of the kernels of the above operators, of the dual operators T*, A* and of the dual cone C0. A particular case is considered when T is the differential operator and A is the operator-trace of a function.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 66 , Issue 3 , December 2002 , pp. 359 - 368
- Copyright
- Copyright © Australian Mathematical Society 2002
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