Weighted Polynomial Inequalities with Doubling and A∞ Weights

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作者
Giuseppe Mastroianni
Vilmos Totik
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[1] University of Basilicata,Department of Mathematics
[2] Bolyai Institute Josef Attila University,Department of Mathematics
[3] University of South Florida,undefined
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Key words. Weighted polynomial inequalities, Doubling weights, A -infinity weights. AMS Classification. 26D05, 42A05.;
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We consider weighted inequalities such as Bernstein, Nikolskii, Remez, etc., inequalities under minimal assumptions on the weights. It turns out that in most cases this mimimal assumption is the doubling condition. Sometimes, however, as for the Remez and Nikolskii inequalities, one needs the slightly stronger A∈fty condition. We shall consider both the trigonometric and the algebraic cases.
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页码:37 / 71
页数:34
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