Kılıç, Emrah; Akkuş, İlker(University of Miskolc, 2019)
In this paper, we shall derive formulæ for partial sums of the Gaussian q-binomial coefficients, their reciprocals, squares and squared reciprocals. To prove the claimed results, we use q-calculus. As applications of our ...
We introduce a nonsymmetric matrix defined by q-integers. Explicit formul ae are derived for its LU-decomposition, the inverse matrices L-1 and U-1 and its inverse. Nonsymmetric variants of the Filbert and Lilbert matrices ...
Akın, Ömer; Bayeğ, Selami(Kyrgyz Turkish Manas UniversityKırgızistan Türkiye Manas Üniversitesi, 2018)
In this paper we have rstly dened a metric based on the Hausdor metric in
intuitionistic fuzzy environment and studied its properties. Then we have proved
that the metric space of intuitionistic fuzzy number valued ...
Gölgeli, Meltem(Ankara UniversityAnkara Üniversitesi, 2019)
Hepatitis B infection is one of the serious viral infections that is treating the global health. Turkey has an intermediate endemicity for hepatitis B. In this study, a classical SIR model for hepatitis B virus (HBV) ...
Kılıç, Emrah; Arıkan, Talha(Taylor and Francis Ltd., 2019-01)
In this paper, we present both a new generalization and an analogue of the Filbert matrix (Formula presented.) by the means of the Fibonacci and Lucas numbers whose indices are in nonlinear form (Formula presented.) for ...
In this article we give an explicit formula for the number of kk-normal elements, hence answering Problem 6.1. of Huczynska et al. (Existence and properties of kk-normal elements over finite fields, Finite Fields Appl 2013; ...
Two new asymmetric generalizations of the Filbert and Lilbert matrices constructed by the products of two Fibonacci and Lucas numbers are considered, with additional parameter settings. Explicit formulæ are derived for ...
Sums of products of two Gaussian q-binomial coefficients, are investigated, one of which includes two additional parameters, with a parametric rational weight function. By means of partial fraction decomposition, first the ...
Kılıç, Emreah; Yalciner, Aynur(American Institute of Physics Inc., 2019-07)
We consider a circulant-tridiagonal matrix and compute its determinant by using generating function method. Then we explicitly determine its spectrum. Finally we present applications of our results for trigonometric ...
We consider new kinds of max and min matrices, [amax(i,j)]i,j?1 and [amin(i,j)]i,j?1, as generalizations of the classical max and min matrices. Moreover, their reciprocal analogues for a given sequence {an} have been ...
In this paper, by using the classical Fibonacci sequence and the golden ratio, we ?rst give the exact solution of the nonlinear recursive equation xn+1 = xn?1/xn with respect to certain powers of the initial values x?1 and ...
Hashimoglu, Ilyas; Akın, Ömer; Mamedov, Khanlar R.(John Wiley and Sons Ltd, 2019-05)
In this article, we investigate the discreteness and some other properties of the spectrum for the Schrödinger operator L defined by the formula LY=-d 2 y/dx 2 +A(A+I)/x 2 y+Q(x)y on the space L 2 (H, [0, ?)), where H is ...
Akın, Ömer; Bayeğ, Selami(Hacettepe UniversityHacettpe Üniversitesi, 2019)
In this paper, by using the properties of ?\alpha? and ?\beta? cuts of intuitionistic fuzzy numbers, we have firstly proposed a method to find the general solution of the second order initial value problem with intuitionistic ...
Akın, Ömer; Bayeğ, Selami(Biophysics and Biomedical Engineering of the Bulgarian Academy of Sciences, 2018)
In this paper, we have studied the system of differential equations with intuitionistic fuzzy initial values under the interpretation of (i,ii)-GH differentiability concepts and Zadeh's extension principle interpretation. ...
Unmanned aerial vehicles (UAVs) are increasingly being used for coverage applications. Some common examples include inspecting agricultural fields for certain plant diseases, tracking wildfire, photogrammetry, flying over ...
Merdan, Hüseyin; Gumus, Ozlem Ak; Karahisarli, Gamzegul(L and H Scientific Publishing, LLC, 2018)
We consider a general ?rst-order scalar difference equation with and without Allee effect. The model without Allee effect represents asexual reproduction of a species while the model including Allee effect represents sexual ...
Bulut, H.; Merdan, Hüseyin; Swigon, D.(American Institute of Physics Inc., 2019-02)
We present a mathematical model for a market involving two stocks which are traded within a single homogeneous group of investors who have similar motivations and strategies for trading. It is assumed that the market ...
Kılıç, Emrah; Arıkan, Talha(Cambridge University Press, 2019-07)
We consider new kinds of max and min matrices, [amax(i,j)]i,j?1 and [amin(i,j)]i,j?1, as generalizations of the classical max and min matrices. Moreover, their reciprocal analogues for a given sequence {an} have been ...
Aslan, İsmail; Duman, Oktay(Taylor and Francis Ltd., 2019-06)
In this study, approximation properties of the Mellin-type nonlinear integral operators defined on multivariate functions are investigated. In order to get more general results than the classical aspects, we mainly use the ...
Obstructive sleep apnea (OSA) is the most common respiratory sleep disorder. Mental fatigue and attention control difficulties during the day have been reported in several studies for patients who are diagnosed with OSA. ...