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Journal of Inequalities and Applications
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Markov and Bernstein inequalities in for some weighted algebraic and trigonometric polynomials

Journal of Inequalities and Applications volume 2005, Article number: 350524 (2005) Cite this article

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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  1. Department of Mathematics and Statistics, Auburn University, Auburn, AL, 36849, USA

    Theodore Kilgore

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  1. Theodore Kilgore
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Correspondence to Theodore Kilgore.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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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