The problem of optimal recovery is that of approximating as effectively as possible a given map of any function known to belong to a certain class from limited, and possibly error-contaminated, information about it. In this selective survey we describe some general results and give many examples of optimal recovery. C. A. Micchelli et al. (eds.), Optimal Estimation in Approximation Theory

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Methods for computing th e maximum and minimum of a polynomial with real coefficients in the inte rval [0 , 1] are de scribed, and certain bounds are given.