Bernstein-Nikolskii-Markov-type inequalities for algebraic polynomials in a weighted Lebesgue space

Meerim İmaş Kızı | Fahreddin ABDULLAYEV

In this paper, we study Bernstein, Markov and Nikol’skii type inequalities for arbitrary algebraic polynomials with respect to a weighted Lebesgue space, where the contour and weight functions have some singularities on a given contour. Keyword: In this paper, we study Bernstein, Markov and Nikol’skii type inequalities for arbitrary algebraic polynomials with respect to a weighted Lebesgue space, where the contour and weight functions have some singularities on a given contour

On the Sharp Inequalities for Orthonormal Polynomials Along a Contour

Fahreddin ABDULLAYEV

In this work, we investigate the order of growth of the modulus of an arbitrary algebraic polynomials in the weighted Lebesgue space, where the contour and the weight functions have some singularities. In particular, we obtain new exact estimations for the growth of the modulus of orthogonal polynomials

Polynomial Inequalities in Regions with Corners in the Weighted Lebesgue Spaces

Fahreddin ABDULLAYEV

In this work, we investigate the order of the growth of the modulus of orthogonal polynomials over a contour and also arbitrary algebraic polynomials in regions with corners in a weighted Lebesgue space, where the singularities of contour and the weight functions satisfy some condition.

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

Dağıstan ŞİMŞEK

Uniform and Pointwise Estimates for Algebraic Polynomials in Regions with Interior and Exterior Zero Angles

Fahreddin ABDULLAYEV

In this study, we give some estimates on the Nikolskii-type inequalities for complex algebraic polynomials in regions with piecewise smooth curves having exterior and interior zero angles.

The uniform and pointwise estimates for polynomials on the weighted Lebesgue spaces in the general regions of complex plane

Fahreddin ABDULLAYEV

The estimation of the modulus of algebraic polynomials on the boundary contour with weight function, having some singularities, with respect to the their quasinorm, on the weighted Lebesgue space was studied in this current work.

Uniform Convergence of the Generalized Bieberbach Polynomials in Regions with Simultaneously Exterior and Interior Zero Angles

Fahreddin ABDULLAYEV

We study the uniform and mean convergence of the generalized Bieberbach polynomials in regions having a finite number of interior and exterior zero zero angles.

Bernstein–Walsh type inequalities in unbounded regions with piecewise asymptotically conformal curve in the weighted Lebesgue space

Meerim İmaş Kızı | Fahreddin ABDULLAYEV

We have obtained the pointwise Bernstein–Walsh type estimation for algebraic polynomials in the unbounded regions with piecewise asymptotically conformal boundary, having exterior and interior zero angles, in the weighted Lebesgue space.

Uniform and pointwise polynomial inequalities in regions with asymptotically conformal curve on weighted Bergman space

Fahreddin ABDULLAYEV

In this present work, we continue studying the Nikol’skii and Bernstein–Walsh type estimations for complex algebraic polynomials in the bounded and unbounded regions bounded by asymptotically conformal curve.- Keywords and phrases: Polynomials Nikol’skii inequalities Bernstein inequalities Conformal mapping Asymptotically conformal curve

Approximate properties of the p-Bieberbach polynomials in regions with simultaneously exterior and interior zero angles

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

In this paper, we study the uniform convergence ofp-Bieberbach polynomials in regions with a finite number of both interior and exterior zero angles at the boundary.