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Publisher : Springer ✕Subject Headings : conformal mapping ✕
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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

Article 2017 Fen Fakültesi Complex Analysis and Operator Theory11 ( 7 ) 89 Views
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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.

Article 2019 Fen Fakültesi Complex Analysis and Operator Theory13 ( 6 ) 66 Views
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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.

Article 2018 Fen Fakültesi Journal of Mathematical Sciences234 ( 1 ) 83 Views
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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

Article 2017 Fen Fakültesi Lobachevskii Journal of Mathematics38 ( 2 ) 52 Views
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