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
Jitter and Measurement Errors in Approximation and Integration of Lipschitz Functions
✍ Scribed by Dorota Dąbrowska
- Book ID
- 111602792
- Publisher
- Springer US
- Year
- 2004
- Tongue
- English
- Weight
- 134 KB
- Volume
- 35
- Category
- Article
- ISSN
- 1017-1398
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We show that the set of semi-Lipschitz functions, defined on a quasi-metric space (X, d ), that vanish at a fixed point x 0 # X can be endowed with the structure of a quasi-normed semilinear space. This provides an appropriate setting in which to characterize both the points of best approximation an
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