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

• Published in: Український математичний вісник
• Date: 2017
• ISSN: 1810-3200
• 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
• 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.

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.