• Title of article

    Nikolskii type inequalities in regions with piecewise Dini-smooth boundary with interior zero angles

  • Author/Authors

    Ozkartepe, Pelin Nizip Education Faculty - Gaziantep University, Gaziantep, Turkey

  • Pages
    18
  • From page
    139
  • To page
    156
  • Abstract
    In this work, we investigate the Nikolskii type inequalities for arbitrary algebraic polynomials in the weighted Bergman space, where the boundary of region and the weight function have some singularities. We obtain Nikolskii -type estimation for algebraic polynomials in the bounded regions with piecewise Dini-smooth boundary having interior zero angles.
  • Keywords
    Algebraic polynomials , Conformal mapping , Dini-smooth curve
  • Journal title
    Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
  • Serial Year
    2018
  • Record number

    2611623