Discrepancy of signed measures and polynomial approximation 1 Vladimir V. Andrievskii, Hans-Peter Blatt. p. cm.-(Springer monographs in mathematics) Inc1udes bibliographical references and index.

Let E be a compact set in the complex plane C having connected and regular complement. For a nonentire function f analytic in the interior of E and continuous on E, we investigate the limiting distribution of the zeros of the sequence of polynomials {pn∗}1∞ of best uniform approximation to f on E. The zeros of best Lp polynomial approximants and best uniform rational approximants having a bounded number of free poles are also considered.

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