Title of article
Pointwise Bernstein-Walsh-type inequalities in regions with interior zero angles in the Bergman space
Author/Authors
Tunc, Tuncay Faculty of Arts and Science Department of Mathematics - Mersin University, Mersin,Turkey , Simsek, Dagistan Kyrgyz-Turkish Manas University - Bishkek, Kyrgyzstan - Selcuk University, Konya, Turkey , Oruc, Eda Faculty of Arts and Science Department of Mathematics - Mersin University, Mersin,Turkey
Pages
14
From page
169
To page
182
Abstract
In this work, we investigate the order of growth of the modulus of an arbitrary algebraic
polynomials in the weighted Bergman space, where the contour and the weight functions have some singularities. In particular, we obtain pointwise Berstein-Walsh -type estimation for algebraic polynomials
in the unbounded regions with piecewise smooth boundary having interior zero angles.
Keywords
Algebraic polynomials , Conformal mapping , Smooth curve
Journal title
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
Serial Year
2017
Full Text URL
Record number
2611412
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