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Found: 120 Piece 0.002 sn
Department : Uygulamalı Matematik ... ✕
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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.

Article 2021 Fen Fakültesi Ukrainian Mathematical Journal737 ( 6 ) 49 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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A System of Singularly Perturbed Parabolic Equations with a Power Boundary Layer

Asan ÖMÜRALİEV | Ella ABILAYEVA | Peyil Esengul Kızı

The work is devoted to the construction of the asymptotics of the solution of a singularly perturbed system of equations of parabolic type, in the case when the limit equation has a regular singularity as the small parameter tends to zero. The asymptotics of the solution of such problems contains, along with parabolic boundary layer functions, and power boundary layer functions.

Article 2020 Fen Fakültesi Lobachevskii Journal of Mathematics41 ( 1 ) 65 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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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.

Article 2020 Fen Fakültesi Ukrainian Mathematical Journal72 ( 1 ) 47 Views
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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.

Article 2020 Fen Fakültesi Quaestiones Mathematicae44 ( 10 ) 120 Views
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A new approach for soft topology and soft function via soft element

İsmet ALTINTAŞ

In this article, we give some new properties of elementary operations on soft sets and then we introduce a new soft topology by using elementary operations over a universal set with a set of parameters called elementary soft topology. Also, we define a topology, members of which are collections of the soft elements and give the relation between this topology and elementary soft topology. We show that this new soft topology is different from those previously defined soft topologies. We prove some of the properties of the topological concepts we investigate in this topology. Finally, we describe ...More

Article 2020 Fen Fakültesi Mathematical Methods in the Applied Sciences44 ( 9 ) 68 Views
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Countable and separable elementary soft topological space

İsmet ALTINTAŞ

This paper is an introduction to countable and separable elementary soft topological spaces, which includes concepts such as dense soft set, first countability, second countability, separability and Lindelof properties and some basic properties of them in the elementary soft topological spaces.

Article 2020 Fen Fakültesi Mathematical Methods in the Applied Sciences44 ( 9 ) 39 Views
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Compactness of soft cone metric space and fixed point theorems related to diametrically contractive mapping

İsmet ALTINTAŞ

In this article, we describe the concepts such as sequentially soft closeness, sequential compactness, totally boundedness and sequentially continuity in any soft cone metric space and prove their some properties. Also, we examine soft closed set, soft closure, compactness and continuity in an elementary soft topological cone metric space. Unlike classical cone metric space, sequential compactness and compactness are not the same here. Because the compactness is an elementary soft topological property and cannot be defined for every soft cone metric space. However, in the restricted soft cone ...More

Article 2020 Fen Fakültesi Turkish Journal of Mathematics44 ( 6 ) 61 Views
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SOLUTION OF RATIONAL DIFFERENCE EQUATION

Burak OĞUL

In this work we investigated the solution for the following difference equation x(n+1) = x(n)-17/1 + Pi(4)(t=0) x(n) - 3t-2 where x-17, x-16, ..., x-1, x(0) is an element of (0, infinity). Moreover, we gave a numerical example of to the solution the related difference equation.

Article 2020 Fen Fakültesi Journal of Mathematical Analysis11 ( 5 ) 95 Views
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Learners' preferences for online resources, activities, and communication tools: A comparative study of Turkey and Kyrgyzstan

Gülşat MUHAMETJANOVA | Rita İSMAİLOVA

The progresses in technology lead to advances in e-learning as well as lead to increase in number of learners participating in e-learning courses. Richness of online resources, activities, and communication tools presented in online courses can be one of the factors that influence learners' attendance to e-learning. In this regard, the initial purpose of this study was to identify online resource, activity and communication tool preferences of learners studying in two public universities: one located in Turkey and one located in Kyrgyzstan. At the second stage, comparison of Turkish and Kyrgyz ...More

Article 2020 Fen Fakültesi E-Learning and Digital Media17 ( 2 ) 134 Views
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On the Recursive Sequence xn+1=xn−(k+1)1+xnxn−1…xn−k

Dağıstan ŞİMŞEK

A solution of the following difference equation is investigated:xn+1=xn−(k+1)1+xnxn−1…xn−k,n=0,1,2,… where x−(k+1); x−k; : : : ; x−1; x0 𝜖 (0;∞) and k = 0; 1; 2; : : :.

Article 2018 Fen Fakültesi Journal of Mathematical Sciences234 ( 1 ) 2697 Views
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