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Smoothing spline in a convex closed set of Hilbert space

Published online by Cambridge University Press:  17 April 2009

Natasha Dicheva
Natasha Dicheva
Affiliation:
Department of Descriptive Geometry, University of Architecture, Civil Engineering and Geodesy, Boul. Hr. Smirnensky 1, Sofia 1421, Bulgaria e-mail: dichevan_fgs@bgace5.uacg.acad.bg
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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

References

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