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On weighted polynomial approximation with monotone weights

Author(s): Alexander Borichev
Journal: Proc. Amer. Math. Soc. 128 (2000), 3613-3619.
MSC (2000): Primary 41A10, 46E30
Posted: June 7, 2000
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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

DOI: 10.1090/S0002-9939-00-05511-8
PII: S 0002-9939(00)05511-8
Keywords: Weighted polynomial approximation, Mergelyan majorant
Received by editor(s): February 20, 1999
Posted: June 7, 2000
Communicated by: Albert Baernstein II
Copyright of article: Copyright 2000, American Mathematical Society

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