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

Статья 2017 Fen Fakültesi Complex Analysis and Operator Theory11 ( 7 ) 89 Просмотры

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.

Статья 2019 Fen Fakültesi Complex Analysis and Operator Theory13 ( 6 ) 66 Просмотры

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On the Sharp Inequalities for Orthonormal Polynomials Along a Contour

Fahreddin ABDULLAYEV

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

Fahreddin ABDULLAYEV