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Найденный: 67 Экземпляр 0.001 sn
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Качественное образованиеОбеспечение качественного и всеобъемлющего образования на основе инклюзивности и справедливости, и стимулирование возможностей пожизненного обучения для всех
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ON OPTIMAL CONTROL OF THE INITIAL VELOCITY OF AN EULER-BERNOULLI BEAM SYSTEM

Ercan ÇELİK

In this study, we consider an optimal control problem for an Euler-Bernoulli beam equation. The initial velocity of the system is given by the control function. We give sufficient conditions for the existence of a unique solution of the hyperbolic system and prove that the optimal solution for the considered optimal control problem is exists and unique. After obtaining the Frechet derivative of the cost functional via an adjoint problem, we also give an iteration algorithm for the numerical solution of the problem by using the Gradient method. Finally, we furnish some numerical examples to dem ...Более

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Effects of botanical gardens on student environmental perception

Hasan YILMAZ

This paper examines the role of the classroom environment in promoting student well-being and, more specif-ically, a sense of responsibility towards nature in the city. The study analyzed how indoor vs outdoor educational environments affect students' perception of events and phenomena focusing on emotional, behavioral and cognitive processes. It was conducted in the Kayakyolu Secondary School, Erzurum, Turkey with 282 students ranging in age from 11 to 14 in grades 5-8. They participated in reading a story in two distinct environments: an enclosed indoor classroom and an outdoor botanical gar ...Более

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An invariant of regular isotopy for disoriented links

İsmet ALTINTAŞ

In this paper, we define a two-variable polynomial invariant of regular isotopy, M_K for a disoriented link diagram K. By normalizing the polynomial M_K using complete writhe, we obtain a polynomial invariant of ambient isotopy, N_K, for a disoriented link diagram K. The polynomial N_K is a generalization of the expanded Jones polynomial for disoriented links and is an expansion of the Kauffman polynomial F to the disoriented links. Moreover, the polynomial M_K is an expansion of the Kauffman polynomial L to the disoriented links.

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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

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Fejér-type positive operator based on Takenaka-Malmquist system on unit circle

Fahreddin ABDULLAYEV

Let φ={φk}k=−∞∞ denote the extended Takenaka–Malmquist system on unit circle T and let σn,φ(f), f∈L1(T), be the Fejér-type operator based on φ, introduced by V. N. Rusak. We give the convergence criteria for σn,φ(f) in Banach space C(T). Also we prove the Voronovskaya-type theorem for σn,φ(f) on class of holomorphic functions representable by Cauchy-type integrals with bounded densities. Keywords: Holomorphic functions; Takenaka–Malmquist system; Fejér type operator; Blaschke product; Frostman condition

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Conjugate connections and their applications on pure metallic metric geometries

Olgun DURMAZ

Let (M, J, g) be a metallic pseudo-Riemannian manifold equipped with a metallic structure J and a pseudo-Riemannian metric g. The paper deals with interactions of Codazzi couplings formed by conjugate connections and tensor structures. The presence of Tachibana operator and Codazzi couplings presents a new characterization for locally metallic pseudo-Riemannian manifold. Also, a necessary and sufficient condition under which a non-integrable metallic pseudo-Riemannian manifold is a quasi metallic pseudo-Riemannian manifold is derived. Finally, it is introduced metallic-like pseudo-Riemannian m ...Более

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Best approximation-preserving operators over Hardy space

Fahreddin ABDULLAYEV

Let Tn be the linear Hadamard convolution operator acting over Hardy space Hq, 1≤q≤∞. We call Tn a best approximation-preserving operator (BAP operator) if Tn(en)=en, where en(z):=zn, and if ∥Tn(f)∥q≤En(f)q for all f∈Hq, where En(f)q is the best approximation by algebraic polynomials of degree a most n−1 in Hq space. We give necessary and sufficient conditions for Tn to be a BAP operator over H∞. We apply this result to establish an exact lower bound for the best approximation of bounded holomorphic functions. In particular, we show that the Landau-type inequality ∣∣fˆn∣∣+c∣∣fˆN∣∣≤En(f)∞, wher ...Более

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A new binary genetic programming approach to designing public transportation systems according to transit-oriented development criteria

Hasan YILMAZ

This study introduces a new evolutionary approach called Binary Genetic Programming (BGP) to design and assess public transportation systems from a sustainable development perspective. The BGP combines evolutionary system identi cation techniques with k-fold cross-validation to obtain an accurate model between the land use and transportation parameters from a sustainable urban development point of view. To assess the new model, two public transportation systems including the new tram line of Antalya (Turkey) and the bus rapid transit line of Bhopal (India) were considered. The model was employ ...Более

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Well-Posedness and Blow-Up of Solutions for a Variable Exponent Nonlinear Petrovsky Equation

Ercan ÇELİK

In this article, we investigate a nonlinear Petrovsky equation with variable exponent and damping terms. First, we establish the local existence using the Faedo-Galerkin approximation method under the conditions of positive initial energy and appropriate constraints on the variable exponents p & sdot; and q & sdot;. Finally, we prove a finite-time blow-up result for negative initial energy. Keyword: global existence; wave-equation

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An Insight Into Veterinary Students' Perceptions on the use of 3D-Printed Bone Biomodels in Anatomy Learning

Hasan Hüseyin ARI

Today, conventional teaching methods are losing their effectiveness at transferring knowledge and skills, prompting the presentation of alternative strategies that hold more promise. One of the innovative alternative education materials in veterinary anatomy education is the models produced on three-dimensional (3D) printers. The subject of this study is 4 different bone biomodels 3D modeled and printed with reference to cadaver-derived bones. In the study, a total of 298 students were asked to evaluate these biomodels in terms of their similarity to the reference bones. According to the surve ...Более

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Influence of boundary conditions on the behavior of laminated glass curved beam with delamination effect: An experimental and numerical investigation

Ebru DURAL

The delamination phenomena of laminated glass structures are issues that are not perfectly understood and remain problematic to predict due to the nonlinearity of the geometric response. A research study is undertaken to investigate the behavior of laminated glass curved beams with initial delamination exposed to different boundary conditions. A mathematical model which contains nonlinear field equations and boundary conditions is developed. An iterative procedure for the solution of field equations is implemented. In addition, experiments are conducted and finite element model is developed to ...Более

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Existence, Decay, and Blow-up of Solutions for a Weighted m -Biharmonic Equation with Nonlinear Damping and Source Terms

Ercan ÇELİK

In this paper, we consider the weighted m-biharmonic equation with nonlinear damping and source terms. We proved the global existence of solutions. Later, the decay of the energy is established by using Nakao's inequality. Finally, we proved the blow-up of solutions in finite time.

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