Fahreddin ABDULLAYEV | Meerim İmaş Kızı

Article | 2021 | Rocky Mountain Journal of Mathematics51 ( 4 )

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.

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

Article | 2017 | MANAS Journal of Engineering (MJEN)5 ( 3 )

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 dönüşümü için bazı önemli sabit nokta teor . . .emleri ispatladık More less

Sebahattin BALCI | Meerim İmaş Kızı | Fahreddin ABDULLAYEV

Article | 2018 | Ukrainian Mathematical Journal70 ( 3 )

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.

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

Article | 2022 | Applied Mathematics in Science and Engineering30 ( 1 )

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.

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

Article | 2020 | Ukrainian Mathematical Journal71 ( 8 )

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.

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

Article | 2022 | Ukrainian Mathematical Journal74 ( 5 )

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.

Meerim İmaş Kızı

Article | 2008 | International Journal of Green Energy5 ( 3 )

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 distributional parameters are identified. T . . .wo probability density functions are fitted to the measured probability distributions on a monthly, seasonally, and yearly basis. The wind energy potential of the location is studied based on the Weibull and the Rayleigh models. - Keywords: Weibull distributions, Rayleigh distributions, Wind speed data, Wind energy, Wind power densit More less

Asan ÖMÜRALİEV | Meerim İmaş Kızı

Article | 2017 | Differential Equations53 ( 12 )

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

Meerim İmaş Kızı | Fahreddin ABDULLAYEV

Article | 2018 | Journal of Mathematical Sciences234 ( 1 )

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.

Asan ÖMÜRALİEV | Meerim İmaş Kızı

Article | 2017 | Дифференциальные уравнения53 ( 12 )

Изучается первая краевая задача для многомерного дифференциального уравнения параболического типа с малым параметром при всех производных. Построена полная, т.е. любого порядка по параметру регуляризованная асимптотика решения, которая содержит многомерную погранслойную функцию, ограниченную при и стремящуюся к нулю при если Кроме того, она содержит угловые погранслойные функции, описываемые произведением погранслойной функции экспоненциального типа и многомерной параболической погранслойной функции. . . . More less

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

Article | 2020 | Quaestiones Mathematicae44 ( 10 )

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.

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

Article | 2020 | Turkish Journal of Mathematics44 ( 1 )

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 spaces S-p,S- (mu).