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Department : Uygulamalı Matematik ... ✕Subject Headings : inequalities ✕
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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.

Article 2022 Fen Fakültesi Bulletin of the Korean Mathematical Society (대한수학회보)59 ( 1 ) 21 Views
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On the Growth of Derivatives of Algebraic Polynomials in a Weighted Lebesgue Space

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

We study the growth rates of the derivatives of an arbitrary algebraic polynomial in bounded and inbounded regions of the complex plane in weighted Lebesgue spaces.

Article 2022 Fen Fakültesi Ukrainian Mathematical Journal74 ( 5 ) 128 Views
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WIDTHS OF FUNCTIONAL CLASSES DEFINED BY THE MAJORANTS OF GENERALIZED MODULI OF SMOOTHNESS IN THE SPACES S-p

Fahreddin ABDULLAYEV

We obtain exact Jackson-type inequalities in terms of the best approximations and averaged values of the generalized moduli of smoothness in the spaces S-p. For classes of periodic functions defined by certain conditions imposed on the average values of the generalized moduli of smoothness, we determine the exact values of the Kolmogorov, Bernstein, linear, and projective widths in the spaces S-p.

Article 2021 Fen Fakültesi Ukrainian Mathematical Journal737 ( 6 ) 49 Views
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