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
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