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Найденный: 11 Экземпляр 0.000 sn
Источник : Ukrainian Mathematic ... ✕
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Singularly Perturbed Multidimensional Parabolic Equation with Rapidly Oscillating Free Term

Asan ÖMÜRALİEV | Ella ABILAYEVA

The regularized asymptotics of the solution of the first boundary-value problem for a two-dimensional differential equation of parabolic type is constructed in the case where the phase derivative vanishes at a single point. It is shown that angular and multidimensional boundary-layer functions appear in problems of this kind parallel with other types of boundary layers.

Статья 2022 Fen Fakültesi Ukrainian Mathematical Journal73 ( 12 ) 80 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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Bernstein-Walsh-Type Polynomial Inequalities in Domains Bounded by Piecewise Asymptotically Conformal Curve with Nonzero Inner Angles in the Bergman Space

Fahreddin ABDULLAYEV | Dağıstan ŞİMŞEK

We continue our investigation of the order of growth of the modulus of an arbitrary algebraic polynomial in the Bergman weight space, where the contour and weight functions have certain singularities. In particular, we deduce a Bernstein-Walsh-type pointwise estimate for algebraic polynomials in unbounded domains with piecewise asymptotically conformal curves with nonzero inner angles in the Bergman weight space.

Статья 2019 Fen Fakültesi Ukrainian Mathematical Journal71 ( 5 ) 63 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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Polynomial Inequalities in Quasidisks on Weighted Bergman Spaces

Fahreddin ABDULLAYEV

We continue studying on the Nikol’skii and Bernstein –Walsh type estimations for complex algebraic polynomials in the bounded and unbounded quasidisks on the weighted Bergman space

Статья 2017 Fen Fakültesi Ukrainian Mathematical Journal69 ( 5 ) 88 Просмотры
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Bernstein-Nikol'skii-Type Inequalities for Algebraic Polynomials from the Bergman Space in Domains of the Complex Plane

Fahreddin ABDULLAYEV

We study Bernstein-type and Nikol'skii-type estimates for an arbitrary algebraic polynomial in regions of the complex plane.

Статья 2021 Fen Fakültesi Ukrainian Mathematical Journal73 ( 4 ) 92 Просмотры
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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.

Статья 2021 Fen Fakültesi Ukrainian Mathematical Journal737 ( 6 ) 49 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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Approximation of the Classes Cβψ H α By Biharmonic Poisson Integrals

Fahreddin ABDULLAYEV

We study the problem of approximation of functions (psi, beta)-differentiable (in the Stepanets sense) whose (psi, beta)-derivative belongs to the class H-alpha by biharmonic Poisson integrals in the uniform metric.

Статья 2020 Fen Fakültesi Ukrainian Mathematical Journal72 ( 1 ) 47 Просмотры
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On One Class of Nonclassical Linear Volterra Integral Equations of the First Kind

Avıt ASANOV

On the basis of a new approach, we prove the uniqueness theorem and construct Lavrent'ev's regularizing operators for the solution of nonclassical linear Volterra integral equations of the first kind with nondifferentiable kernels.

Статья 2020 Fen Fakültesi Ukrainian Mathematical Journal72 ( 2 ) 65 Просмотры
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