Ukrainian Mathematical Journal

, Volume 71, Issue 5, pp 663–676 | Cite as

Bernstein–Walsh-Type Polynomial Inequalities in Domains Bounded by Piecewise Asymptotically Conformal Curve with Nonzero Inner Angles in the Bergman Space

  • F. G. Abdullayev
  • G. A. Abdullayev
  • D. ŞimşekEmail author

We continue our investigation of the order of growth of the modulus of an arbitrary algebraic polynomial in the Bergman weight space, where the contour and weight functions have certain singularities. In particular, we deduce a Bernstein–Walsh-type pointwise estimate for algebraic polynomials in unbounded domains with piecewise asymptotically conformal curves with nonzero inner angles in the Bergman weight space.


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • F. G. Abdullayev
    • 1
    • 2
  • G. A. Abdullayev
    • 2
  • D. Şimşek
    • 1
    • 3
    Email author
  1. 1.Kyrgyz-Turkish Manas UniversityBishkekKyrgyzstan
  2. 2.Mersin UniversityMersinTurkey
  3. 3.Konya Technical UniversityKonyaTurkey

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