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Department : Uygulamalı Matematik ... ✕Subject Headings : quasismooth curve ✕
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POLYNOMIAL INEQUALITIES IN LAVRENTIEV REGIONS WITH INTERIOR AND EXTERIOR ZERO ANGLES IN THE WEIGHTED LEBESGUE SPACE

Fahreddin ABDULLAYEV

We study estimation of the modulus of algebraic polynomials in the bounded and unbounded regions with piecewise-quasismooth boundary, having interior and exterior zero angles, in the weighted Lebesgue space.

Article 2016 Fen Fakültesi Publications de l’Institut Mathématique100 ( 114 ) 36 Views
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On the growth of mth derivatives of algebraic polynomials in the weighted Lebesgue space

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

In this paper, we study the growth of the mth derivative of an arbitrary algebraic polynomial in bounded and unbounded general domains of the complex plane in weighted Lebesgue spaces. Further, we obtain estimates for the derivatives at the closure of this regions. As a result, estimates for derivatives on the entire complex plane were found.

Article 2022 Fen Fakültesi Applied Mathematics in Science and Engineering30 ( 1 ) 28 Views
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Bernstein-Walsh-type inequalities for derivatives of algebraic polynomials on the regions of complex plane

Fahreddin ABDULLAYEV

In this paper, we study Bernstein-Walsh-type estimates for the derivatives of an arbitrary algebraic polynomial on some general regions of the complex plane.

Article 2022 Fen Fakültesi Turkish Journal of Mathematics46 ( 7 ) 74 Views
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