Best Approximation

  • Frank Deutsch
Part of the CMS Books in Mathematics / Ouvrages de mathématiques de la SMC book series (CMSBM)


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.


Convex Subset Product Space Convex Cone Uniqueness Theorem Nonempty Subset 


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Copyright information

© Springer-Verlag New York, Inc. 2001

Authors and Affiliations

  • Frank Deutsch
    • 1
  1. 1.Department of MathematicsPennsylvania State UniversityUniversity ParkUSA

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