Well-posedness and stability for abstract spline problems

DOI10.1016/j.jmaa.2006.12.008zbMath1115.41033OpenAlexW2081521986MaRDI QIDQ2370754

Elena Molho, Enrico Miglierina

Publication date: 29 June 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.12.008

zbMATH Keywords

stabilitysplineabstract splinewell--posedness

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Spline approximation (41A15)

Cites Work

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• Well-posed optimization problems
• Convexity and well-posed problems
• Convergence of abstract splines
• Unconditional convergence of abstract splines
• Hilbertian kernels and spline functions
• Convergences for sequences of sets and linear mappings
• Convergence of convex sets and of solutions of variational inequalities
• R-splines in Banach spaces. I: Interpolation of linear manifolds
• $T_{f}$-splines et approximation par $T_{f}$ -prolongement
• A variational approach to splines
• Stability for convex vector optimization problems

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