Abstract
In this work well-posedness and stability properties of the abstract spline problem are studied in the
framework of reflexive spaces. Tykhonov well-posedness is proved without restrictive assumptions. In the
context of Hilbert spaces, also the stronger notion of Levitin–Polyak well-posedness is established. A sequence
of parametric problems converging to the given abstract spline problem is considered in order to
study stability. Under natural assumptions, convergence results for sequences of solutions of the perturbed
problems are obtained.
Lingua originale | English |
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pagine (da-a) | 1058-1069 |
Numero di pagine | 12 |
Rivista | Journal of Mathematical Analysis and Applications |
Volume | 333 |
DOI | |
Stato di pubblicazione | Pubblicato - 2007 |
Keywords
- Abstract splines
- set-convergence
- stability
- well-posedness