Bernstein-Walsh type inequalities in unbounded regions with piecewise asymptotically conformal curve in the weighted Lebesgue space

In this work, we obtain pointwise Bernstein–Walsh-type estimation for algebraic polynomials in the unbounded regions with piecewise asymptotically conformal boundary, having exterior and interior zero angles, in the weighted Lebesgue space.

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Bibliographic Details
Published in:Український математичний вісник
Date:2017
Main Authors: Imashkyzy, M., Abdullayev, G.A., Abdullayev, F.G.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2017
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/169375
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Bernstein-Walsh type inequalities in unbounded regions with piecewise asymptotically conformal curve in the weighted Lebesgue space / M. Imashkyzy, G.A. Abdullayev, F.G. Abdullayev // Український математичний вісник. — 2017. — Т. 14, № 4. — С. 515-531. — Бібліогр.: 28 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:In this work, we obtain pointwise Bernstein–Walsh-type estimation for algebraic polynomials in the unbounded regions with piecewise asymptotically conformal boundary, having exterior and interior zero angles, in the weighted Lebesgue space.
ISSN:1810-3200