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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On weighted polynomial approximation with monotone weights
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by Alexander Borichev PDF
Proc. Amer. Math. Soc. 128 (2000), 3613-3619 Request permission

Abstract:

We construct an even weight $W$ monotone on the right half line such that the logarithmic integral of the largest $\log$-convex minorant of $W$ converges and the polynomials are dense in $C(W)$.
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Additional Information
  • Alexander Borichev
  • Affiliation: Laboratoire de Mathématiques Pures de Bordeaux, UPRESA 5467 CNRS, Université Bordeaux I, 351, cours de la Libération, 33405 Talence, France
  • Email: borichev@math.u-bordeaux.fr
  • Received by editor(s): February 20, 1999
  • Published electronically: June 7, 2000
  • Communicated by: Albert Baernstein II
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 3613-3619
  • MSC (2000): Primary 41A10, 46E30
  • DOI: https://doi.org/10.1090/S0002-9939-00-05511-8
  • MathSciNet review: 1694450