Abstract
We will describe the general problem of best approximation in an inner product space. A uniqueness theorem for best approximations from convex sets is also provided. The five problems posed in Chapter 1 are all shown to be special cases of best approximation from a convex subset of an appropriate inner product space.
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© 2001 Springer-Verlag New York, Inc.
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Deutsch, F. (2001). Best 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_2
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DOI: https://doi.org/10.1007/978-1-4684-9298-9_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2890-0
Online ISBN: 978-1-4684-9298-9
eBook Packages: Springer Book Archive