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
Link To Document :
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