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

  • Meerim Imashkyzy
  • Gülnara A. Abdullayev
  • Fahreddin G. Abdullayev


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.


Algebraic polynomials conformal mapping asymptotically conformal curve quasicircle 


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Authors and Affiliations

  • Meerim Imashkyzy
    • 1
  • Gülnara A. Abdullayev
    • 2
  • Fahreddin G. Abdullayev
    • 1
    • 2
  1. 1.Kyrgyz–Turkish Manas UniversityBishkekKyrgyzstan
  2. 2.Mersin UniversityMersinTurkey

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