Higher Markov and Bernstein inequalities and fast decreasing polynomials with prescribed zeros
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compactinequalitiespolynomialshighermarkov-typesubsetsalgebraicassume
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Higher order Bernstein- and Markov-type inequalities are established for trigonometric polynomials on compact subsets of the real line and algebraic polynomials on compact subsets of the unit circle. In the case of Markov-type inequalities we assume that the compact set satisfies an interval condition.
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