Pointwise bernstein-walsh-type inequalities in regions with interior zero angles in the Bergman space

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. © 2017, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.