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Databases : Kaynak web sitesi ✕Researcher : Fahreddin ABDULLAYEV ✕
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Prof. Dr. Fahreddin ABDULLAYEVFen Fakültesi
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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

Article 2023 Fen Fakültesi Filomat37 ( 17 ) 51 Views
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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.

Article 2017 Fen Fakültesi Filomat31 ( 18 ) 40 Views
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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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The use of the isometry of function spaces with different numbers of variables in the theory of approximation of functions

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

In the work, we found integral representations for function spaces that are isometric to spaces of entire functions of exponential type, which are necessary for giving examples of equality of approximation characteristics in function spaces isometric to spaces of non-periodic functions. Sufficient conditions are obtained for the nonnegativity of the delta-like kernels used to construct isometric function spaces with various numbers of variables.

Article 2021 Fen Fakültesi Carpathian Mathematical Publications13 ( 3 ) 144 Views
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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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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.

Proceedings Paper 2019 Fen Fakültesi Filomat33 ( 2 ) 105 Views
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Exact Constants in Direct and Inverse Approximation Theorems for Functions of Several Variables in the Spaces S-p

Fahreddin ABDULLAYEV

In the paper, exact constants in direct and inverse approximation theorems for functions of several variables are found in the spaces S-p. The equivalence between moduli of smoothness and some K-functionals is also shown in the spaces S-p.

Proceedings Paper 2019 Fen Fakültesi Filomat33 ( 5 ) 124 Views
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Best Approximation of Holomorphic Functions from Hardy Space in Terms of Taylor Coefficients

Fahreddin ABDULLAYEV

We describe the set of holomorphic functions from the Hardy space H-q, 1

Proceedings Paper 2019 Fen Fakültesi Filomat33 ( 5 ) 27 Views
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Direct and inverse approximation theorems of functions in the Orlicz type spaces S-M

Fahreddin ABDULLAYEV

In the Orlicz type spaces S-M, we prove direct and inverse approximation theorems in terms of the best approximations of functions and moduli of smoothness of fractional order. We also show the equivalence between moduli of smoothness and Peetre K-functionals in the spaces S-M. (C) 2019 Mathematical Institute Slovak Academy of Sciences

Article 2019 Fen Fakültesi Mathematica Slovaca69 ( 6 ) 60 Views
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