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Вид индекса : SCI Expanded ✕Ученые : Meerim İmaş Kızı ✕
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Doç. Dr. Meerim İmaş KızıFen 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

Статья 2023 Fen Fakültesi Filomat37 ( 17 ) 51 Просмотры
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Singularly Perturbed Parabolic Problems with Multidimensional Boundary Layers

Asan ÖMÜRALİEV | Meerim İmaş Kızı

The first boundary value problem for a multidimensional parabolic differential equation with a small parameter ε multiplying all derivatives is studied. A complete (i.e., of any order with respect to the parameter) regularized asymptotics of the solution is constructed, which contains a multidimensional boundary layer function that is bounded for x = (x 1, x 2) = 0 and tends to zero as ε → +0 for x ≠ 0. In addition, it contains corner boundary layer functions described by the product of a boundary layer function of the exponential type by a multidimensional parabolic boundary layer function

Статья 2017 Fen Fakültesi Differential Equations53 ( 12 ) 66 Просмотры
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Determination of Wind Energy Potential and Wind Speed Data in Bishkek, Kyrgyzstan

Meerim İmaş Kızı

Wind speed is the most important parameter in the design and study of wind energy conversion systems. Probability density functions, such as the Weibull and Rayleigh, are often used in wind speed and wind energy analyses. In this study, statistical methods were used to analyze the wind speed data of Bishkek in the northern region of Kyrgyzstan. Measured daily time series of wind speed data were obtained from the State Meteorological Station in Bishkek, Kyrgyzstan, over a three-year period from 2003 to 2005. The probability density distributions are derived from the time series data and the dis ...Более

Статья 2008 Fen Fakültesi International Journal of Green Energy5 ( 3 ) 142 Просмотры
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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.

Статья 2022 Fen Fakültesi Applied Mathematics in Science and Engineering30 ( 1 ) 28 Просмотры
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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.

Статья 2022 Fen Fakültesi Ukrainian Mathematical Journal74 ( 5 ) 128 Просмотры
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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.

Статья 2018 Fen Fakültesi Ukrainian Mathematical Journal70 ( 2 ) 69 Просмотры
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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.

Статья 2018 Fen Fakültesi Ukrainian Mathematical Journal70 ( 3 ) 50 Просмотры
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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.

Статья 2021 Fen Fakültesi Analysis and Mathematical Physics11 ( 1 ) 72 Просмотры
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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.

Статья 2021 Fen Fakültesi Rocky Mountain Journal of Mathematics51 ( 4 ) 115 Просмотры
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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.

Статья 2020 Fen Fakültesi Ukrainian Mathematical Journal71 ( 8 ) 64 Просмотры
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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 ...Более

Статья 2020 Fen Fakültesi Turkish Journal of Mathematics44 ( 1 ) 37 Просмотры
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Approximate properties of the p-Bieberbach polynomials in regions with simultaneously exterior and interior zero angles

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

In this paper, we study the uniform convergence ofp-Bieberbach polynomials in regions with a finite number of both interior and exterior zero angles at the boundary.

Статья 2020 Fen Fakültesi Quaestiones Mathematicae44 ( 10 ) 120 Просмотры
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