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Weighted polynomial inequalities in the complex plane

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Abstract

We establish weighted Lp,1p< Bernstein-, Remez-, Nikolskii-, and Marcinkiewicz-type inequalities for algebraic polynomials considered on a quasismooth (in the sense of Lavrentiev) arc in the complex plane.

Keywords

Polynomial
Bernstein inequality
Remez inequality
Nikolskii inequality
Marcinkiewicz inequality
Quasismooth arc

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