caa a22 4500 47574375X CHVBK 20180406123507.0 cr unu---uuuuu 170329e20000401xx s 000 0 eng 10.1007/s003659910011 doi (NATIONALLICENCE)springer-10.1007/s003659910011 Totik Vilmos Bolyai Institute, Aradi v. tere 1, 6720, Szeged, Hungary aut Weighted Polynomial Approximation for Convex External Fields [Elektronische Daten] [Vilmos Totik] Abstract. : It is proven that if Q is convex and w(x)= exp(-Q(x)) is the corresponding weight, then every continuous function that vanishes outside the support of the extremal measure associated with w can be uniformly approximated by weighted polynomials of the form w n P n . This solves a problem of P. Borwein and E. B. Saff. Actually, a similar result is true locally for any parts of the extremal support where Q is convex. Springer-Verlag New York Inc., 2000 Key words. Weighted polynomial approximation, Convex external fields. AMS Classification. 41A10 nationallicence https://doi.org/10.1007/s003659910011 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s003659910011 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Totik Vilmos Bolyai Institute, Aradi v. tere 1, 6720, Szeged, Hungary aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer