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Markov and Bernstein inequalities in for some weighted algebraic and trigonometric polynomials

Abstract

Bernstein inequalities are given for polynomials of degree at most (where), weighted by, in norms on, and also in related spaces of weighted trigonometric polynomials. Also, Bernstein and Markov inequalities valid on are derived for polynomials of degree weighted by.

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Correspondence to Theodore Kilgore.

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Kilgore, T. Markov and Bernstein inequalities in for some weighted algebraic and trigonometric polynomials. J Inequal Appl 2005, 350524 (2005). https://doi.org/10.1155/JIA.2005.413

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  • DOI: https://doi.org/10.1155/JIA.2005.413