Pointwise Bernstein-Walsh-type inequalities in regions with interior zero angles in the Bergman space

Dağıstan ŞİMŞEK

BERNSTEIN-WALSH TYPE INEQUALITIES FOR DERIVATIVES OF ALGEBRAIC POLYNOMIALS

Fahreddin ABDULLAYEV

In this work, we study Bernstein-Walsh-type estimations for the derivative of an arbitrary algebraic polynomial in regions with piece wise smooth boundary without cusps of the complex plane. Also, estimates are given on the whole complex plane.

On the growth of mth derivatives of algebraic polynomials in the weighted Lebesgue space

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

In this paper, we study the growth of the mth derivative of an arbitrary algebraic polynomial in bounded and unbounded general domains of the complex plane in weighted Lebesgue spaces. Further, we obtain estimates for the derivatives at the closure of this regions. As a result, estimates for derivatives on the entire complex plane were found.

Bernstein-Walsh-type inequalities for derivatives of algebraic polynomials on the regions of complex plane

Fahreddin ABDULLAYEV

In this paper, we study Bernstein-Walsh-type estimates for the derivatives of an arbitrary algebraic polynomial on some general regions of the complex plane.