caa a22 4500 475743601 CHVBK 20180406123506.0 cr unu---uuuuu 170329e20000101xx s 000 0 eng 10.1007/s003659910002 doi (NATIONALLICENCE)springer-10.1007/s003659910002 Weighted Polynomial Inequalities with Doubling and A ∞ Weights [Elektronische Daten] [Giuseppe Mastroianni, Vilmos Totik] Abstract. : 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. Springer-Verlag New York Inc., 2000 Key words. Weighted polynomial inequalities, Doubling weights, A -infinity weights. AMS Classification. 26D05, 42A05 nationallicence Mastroianni Giuseppe Department of Mathematics, University of Basilicata, Via N. Sauro 85, 85100, Potenza, IT aut Totik Vilmos Bolyai Institute Josef Attila University, Aradi v. tere 1, H-6720, Szeged, Hungary aut https://doi.org/10.1007/s003659910002 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s003659910002 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mastroianni Giuseppe Department of Mathematics, University of Basilicata, Via N. Sauro 85, 85100, Potenza, IT aut NATIONALLICENCE 700 1- Totik Vilmos Bolyai Institute Josef Attila University, Aradi v. tere 1, H-6720, Szeged, Hungary aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer