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Базы данных : Scopus ✕Тематический рубрикатор : quasicircle ✕
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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

Статья 2023 Fen Fakültesi Filomat37 ( 17 ) 51 Просмотры
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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

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

Статья 2017 Fen Fakültesi Filomat31 ( 18 ) 40 Просмотры
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Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks

Fahreddin ABDULLAYEV

In this paper, we study Bernstein-Walsh type estimates for the higher-order derivatives of an arbitrary algebraic polynomial on quasidisks.

Статья 2021 Fen Fakültesi Open Mathematics19 ( 1 ) 92 Просмотры
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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.

Статья 2022 Fen Fakültesi Bulletin of the Korean Mathematical Society (대한수학회보)59 ( 1 ) 21 Просмотры
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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.

Доклады конференции 2019 Fen Fakültesi Filomat33 ( 2 ) 105 Просмотры
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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.

Статья 2019 Fen Fakültesi Hacettepe Journal of Mathematics and Statistics48 ( 1 ) 63 Просмотры
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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.

Статья 2018 Fen Fakültesi Journal of Mathematical Sciences234 ( 1 ) 83 Просмотры
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