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
Full Text URL :
Record number :
2611623
Link To Document :
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