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Erişime Açık

Polynomial Inequalities in Quasidisks on Weighted Bergman Spaces

Fahreddin ABDULLAYEV

We continue studying on the Nikol’skii and Bernstein –Walsh type estimations for complex algebraic polynomials in the bounded and unbounded quasidisks on the weighted Bergman space

Erişime Açık

On the Growth of Derivatives of Algebraic Polynomials in a Weighted Lebesgue Space

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

We study the growth rates of the derivatives of an arbitrary algebraic polynomial in bounded and inbounded regions of the complex plane in weighted Lebesgue spaces.

Erişime Açık

Bernstein-Walsh-Type Polynomial Inequalities in Domains Bounded by Piecewise Asymptotically Conformal Curve with Nonzero Inner Angles in the Bergman Space

Fahreddin ABDULLAYEV | Dağıstan ŞİMŞEK

We continue our investigation of the order of growth of the modulus of an arbitrary algebraic polynomial in the Bergman weight space, where the contour and weight functions have certain singularities. In particular, we deduce a Bernstein-Walsh-type pointwise estimate for algebraic polynomials in unbounded domains with piecewise asymptotically conformal curves with nonzero inner angles in the Bergman weight space.

Erişime Açık

Bernstein-Nikol'skii-Type Inequalities for Algebraic Polynomials from the Bergman Space in Domains of the Complex Plane

Fahreddin ABDULLAYEV

We study Bernstein-type and Nikol'skii-type estimates for an arbitrary algebraic polynomial in regions of the complex plane.

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