Document Type
Article
Publication Date
1995
DOI
10.1016/0898-1221(95)00104-2
Publication Title
Computers & Mathematics with Applications
Volume
30
Issue
3-6
Pages
255-268
Abstract
We use a structural characterization of the metric projection PG(f), from the continuous function space to its one-dimensional subspace G, to derive a lower bound of the Hausdorff strong unicity constant (or weak sharp minimum constant) for PG and then show this lower bound can be attained. Then the exact value of Lipschitz constant for PG is computed. The process is a quantitative analysis based on the Gâteaux derivative of PG, a representation of local Lipschitz constants, the equivalence of local and global Lipschitz constants for lower semicontinuous mappings, and construction of functions.
Original Publication Citation
Bartelt, M., & Li, W. (1995). Error-estimates and Lipschitz-constants for best approximation in continuous function spaces. Computers & Mathematics with Applications, 30(3-6), 255-268. doi:10.1016/0898-1221(95)00104-2
Repository Citation
Bartelt, M. and Li, W., "Error Estimates and Lipschitz Constants for Best Approximation in Continuous Function Spaces" (1995). Mathematics & Statistics Faculty Publications. 138.
https://digitalcommons.odu.edu/mathstat_fac_pubs/138
Comments
Elsevier open archive. Copyright © 1995 Published by Elsevier Ltd. All rights reserved.