Bernstein–Walsh type inequalities in unbounded regions with piecewise asymptotically conformal curve in the weighted Lebesgue space
- Authors: Imashkyzy M.1, Abdullayev G.A.2, Abdullayev F.G.1,2
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Affiliations:
- Kyrgyz–Turkish Manas University
- Mersin University
- Issue: Vol 234, No 1 (2018)
- Pages: 35-48
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/241746
- DOI: https://doi.org/10.1007/s10958-018-3979-6
- ID: 241746
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Abstract
We have obtained the 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.
About the authors
Meerim Imashkyzy
Kyrgyz–Turkish Manas University
Author for correspondence.
Email: imashkyzy@gmail.com
Kyrgyzstan, Bishkek
Gülnara A. Abdullayev
Mersin University
Email: imashkyzy@gmail.com
Turkey, Mersin
Fahreddin G. Abdullayev
Kyrgyz–Turkish Manas University; Mersin University
Email: imashkyzy@gmail.com
Kyrgyzstan, Bishkek; Mersin
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