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Researcher : Fahreddin ABDULLAYEV ✕Researcher : Meerim İmaş Kızı ✕
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Doç. Dr. Meerim İmaş KızıFen Fakültesi
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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An Introduction To Soft Cone Metric Spaces And Some Fixed Point Theorems = Esnek Koni Metrik Uzaylara Giriş ve Bazı Sabit Nokta Teoremleri

Dağıstan ŞİMŞEK | Fahreddin ABDULLAYEV | Meerim İmaş Kızı | Ella ABILAYEVA | Burak OĞUL

This paper is an introduction to soft cone metric spaces. We first define the concept of soft cone metric via soft elements and give basic properties of its. Then, we investigate soft convergence in soft cone metric spaces and prove some important fixed point theorems for contractive mappings on soft cone metric spaces.- Bu makale esnek koni metrik uzaylara bir giriştir. Önce esnek koni metrik uzayları, esnek eleman yardımıyla tanımladık ve onun temel özelliklerini verdik. Sonra esnek koni metrik uzaylarda esnek yakınsaklık kavramını inceledik ve esnek koni metrik uzaylar üzerinde daralma dö ...More

Article 2017 Fen Fakültesi MANAS Journal of Engineering (MJEN)5 ( 3 ) 148 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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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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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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Application of Faber Polynomials in Proving Combinatorial Identities

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

We study the possibility of application of Faber polynomials in proving some combinatorial identities. It is shown that the coefficients of Faber polynomials of mutually inverse conformal mappings generate a pair of mutually invertible relations. We prove two identities relating the coefficients of Faber polynomials and the coefficients of Laurent expansions of the corresponding conformal mappings. Some examples are presented.

Article 2018 Fen Fakültesi Ukrainian Mathematical Journal70 ( 2 ) 69 Views
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Polynomial Inequalities in Regions with Zero Interior Angles in the Bergman Space

Sebahattin BALCI | Meerim İmaş Kızı | Fahreddin ABDULLAYEV

We study the order of growth of the moduli of arbitrary algebraic polynomials in the weighted Bergman space A(p)(G, h), p > 0, in regions with zero interior angles at finitely many boundary points. We obtain estimates for algebraic polynomials in bounded regions with piecewise smooth boundary.

Article 2018 Fen Fakültesi Ukrainian Mathematical Journal70 ( 3 ) 50 Views
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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.

Article 2018 Fen Fakültesi Journal of Mathematical Sciences234 ( 1 ) 83 Views
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Faber polynomials with common zero

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

We describe the set of meromorphic univalent functions in the class Σ, for which the sequence of the Faber polynomials {Fj}∞j=1 have the roots with following properties |Fn(z0)|>0=∑j=1j≠n|Fj(z0)|. For such functions we found an explicit form of the Faber polynomials as well as we discussed some properties.

Article 2021 Fen Fakültesi Analysis and Mathematical Physics11 ( 1 ) 72 Views
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Jackson-type inequalities and widths of functional classes in the Musielak–Orlicz type spaces

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

In the Musielak-Orlicz-type spaces S M , exact Jackson-type inequalities are obtained in terms of best approximations of functions and the averaged values of their generalized moduli of smoothness. The values of Kolmogorov, Bernstein, linear, and projective widths in SM are found for classes of periodic functions defined by certain conditions on the averaged values of the generalized moduli of smoothness.

Article 2021 Fen Fakültesi Rocky Mountain Journal of Mathematics51 ( 4 ) 115 Views
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Isometry of the Subspaces of Solutions of Systems of Differential Equations to the Spaces of Real Functions

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

We determine the subspaces of solutions of the systems of Laplace and heat-conduction differential equations isometric to the corresponding spaces of real functions defined on the set of real numbers.

Article 2020 Fen Fakültesi Ukrainian Mathematical Journal71 ( 8 ) 64 Views
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Direct and inverse approximation theorems in the weighted Orlicz-type spaces with a variable exponent

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

In weighted Orlicz-type spaces S-p,S- (mu) with a variable summation exponent, the direct and inverse approximation theorems are proved in terms of best approximations of functions and moduli of smoothness of fractional order. It is shown that the constant obtained in the inverse approximation theorem is the best in a certain sense. Some applications of the results are also proposed. In particular, the constructive characteristics of functional classes defined by such moduli of smoothness are given. Equivalence between moduli of smoothness and certain Peetre K-functionals is shown in the space ...More

Article 2020 Fen Fakültesi Turkish Journal of Mathematics44 ( 1 ) 37 Views
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