Well-posedness and stability for abstract spline problems

Citations of this article
Mendeley users who have this article in their library.


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. © 2006 Elsevier Inc. All rights reserved.




Miglierina, E., & Molho, E. (2007). Well-posedness and stability for abstract spline problems. Journal of Mathematical Analysis and Applications, 333(2), 1058–1069. https://doi.org/10.1016/j.jmaa.2006.12.008

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free