REMEZ-TYPE, NIKOLSKII-TYPE, AND MARKOV-TYPE INEQUALITIES FOR GENERALIZED NONNEGATIVE POLYNOMIALS WITH RESTRICTED ZEROS
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abstract
Sharp Remez-, Nikolskii-, and Markov-type inequalities are proved for functions of the form {Mathematical expression} under the assumptions {Mathematical expression} The Remez- and Nikolskii-type inequalities are new even for polynomials of degree at most n having at most k (0kn) zeros in the open unit disk. 1992 Springer-Verlag New York Inc.