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Sharpening of Hilbert’s lemniscate theorem

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Abstract

In this paper, we extend Hilbert’s lemniscate theorem to touching systems of curves. The result allows finding sharp constants in Bernstein type inequalities.

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Author information

Authors and Affiliations

  1. Bolyai Institute, University of Szeged, Aradi V. Tere 1, 6720, Szeged, Hungary

    Béla Nagy & Vilmos Totik

  2. Department of Mathematics, University of South Florida, 4202 E. Fowler Ave, PHY 114, 33620-5700, Tampa, FL, USA

    Vilmos Totik

Authors
  1. Béla Nagy
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  2. Vilmos Totik
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Additional information

Supported by OTKA TS44782.

Supported by NSF grant DMS-0097484 and by OTKA T/034323, TS44782.

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Nagy, B., Totik, V. Sharpening of Hilbert’s lemniscate theorem. J. Anal. Math. 96, 191–223 (2005). https://doi.org/10.1007/BF02787828

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  • DOI: https://doi.org/10.1007/BF02787828

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