Abstract
In this chapter we will be interested in determining the error d(x, K) made in approximating the element x by the elements of a convex set K. We have already given an explicit formula for the distance d(x, K) in the last chapter (Theorem 6.25), and a strengthening of this distance formula in the particular case where the convex set K is either a convex cone or a subspace (Theorem 6.26). Now we will extract still further refinements, improvements, and applications of these formulas.
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© 2001 Springer-Verlag New York, Inc.
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Deutsch, F. (2001). Error of Approximation. In: Best Approximation in Inner Product Spaces. CMS Books in Mathematics / Ouvrages de mathématiques de la SMC. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9298-9_7
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DOI: https://doi.org/10.1007/978-1-4684-9298-9_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2890-0
Online ISBN: 978-1-4684-9298-9
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