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A Problem of Totik on Fast Decreasing Polynomials |
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| Authors: | A. B. J. Kuijlaars W. Van Assche |
| Affiliation: | (1) Faculteit Wiskunde en Informatica Universiteit van Amsterdam Plantage Muidergracht 24 NL-1018 TV Amsterdam The Netherlands , NL;(2) W. Van Assche Departement Wiskunde Katholieke Universiteit Leuven Celestijnenlaan 200 B B-3001 Heverlee (Leuven) Belgium walter@wis.kuleuven.ac.be, BE;(3) Current address: Departement Wiskunde Katholieke Universiteit Leuven Celestijnenlaan 200 B B-3001 Heverlee (Leuven) Belgium, BE |
| Abstract: | We solve a problem posed by V. Totik on the existence of fast-decreasing polynomials p n of degree with p n (0)=1 and for . For the largest c for which such polynomials exist was known. We give the solution for β > 2 . April 18, 1996. |
| Keywords: | . Weighted polynomial approximation, Logarithmic potential. AMS Classification. 30E10, 31A15, 41A10. |
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