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Title of Journal: Constr Approx

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Abbravation: Constructive Approximation

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Springer Berlin Heidelberg

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DOI

10.1002/jps.3080160605

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1432-0940

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Approximation by p Faber polynomials in the weigh

Authors: D M Israfilov
Publish Date: 2001/01/01
Volume: 17, Issue: 3, Pages: 335-351
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Abstract

Let Gsubset C be a finite domain with a regular Jordan boundary L In this work the approximation properties of a p Faber polynomial series of functions in the weighted Smirnov class E p Gω are studied and the rate of polynomial approximation for f∈ E p Gω by the weighted integral modulus of continuity is estimated Some application of this result to the uniform convergence of the Bieberbach polynomials π n in a closed domain overline G with a smooth boundary L is given


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