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Browsing Matematik Bölümü / Department of Mathematics by Issue Date

Browsing Matematik Bölümü / Department of Mathematics by Issue Date

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  • Akın, Ömer; Khaniyev, Tahir; Oruc, O.; Türkşen, İ. B. (Pergamon-Elsevier Science Ltd, 2013-01)
    In this paper, we state a fuzzy initial value problem of the second order fuzzy differential equations. Here we investigate problems with fuzzy coefficients, fuzzy initial values and fuzzy forcing functions. We ...
  • Özpınar, Figen; Koçak, Zeynep Fidan; Akın, Ömer (Matematikçiler Derneği, 2013-01)
    In this paper, some oscillation criteria of certain impulsive partial difference equations with continuous variables are established.
  • Kılıç, Emrah; Prodinger, Helmut (Fibonacci Association, 2013-05)
    A variation of the Filbert matrix from [1] is introduced, which has one additional Fibonacci factor in the numerator. We also introduce its Lucas counterpart by taking Lucas numbers instead of Fibonacci numbers in a similar ...
  • Varda-Acar, Ceren; Zirbel, Craig L.; Székely, Gábor J. (Elsevier Science Bv, 2013-08)
    Investors are naturally interested in the supremum and the infimum of stock prices, also in the maximum gain and the maximum loss over a time period. To shed light on these relatively complicated aspects of sample paths, ...
  • Duman, Oktay; Ergür, Alperen Ali (Hindawi Publishing, 2013-08)
    We generalize and develop the Korovkin-type approximation theory by using an appropriate abstract space. We show that our approximation is more applicable than the classical one. At the end, we display some applications.
  • Kılıç, Emrah; Prodinger, Helmut (Rocky Mt Math Consortium, 2013-10)
    We consider some double binomial sums related to the Fibonacci and Pell numbers and a multiple binomial sum related to the generalized order-k Fibonaccinumbers. The Lagrange-Burmann formula and other well-known techniques ...
  • Kılıç, Emrah (Walter De Gruyter Gmbh, 2013-11)
    Recently some generalizations of Sylvester type tridiagonal matrices have been considered with their spectra. We introduce a new kind generalization of Sylvester type tridiagonal matrix by considering its main diagonal entries. ...
  • Kılıç, Emrah; Ömür, Neşe (Integers, 2013-11)
    In this paper, we consider the weighted sums of products of Lucas sequences of the form (Formula Presented) where rn and sn are the terms of Lucas sequences {Un} and {Vn} for some positive integers t and m. By using ...
  • Çağlar, Mine; Varda-Acar, Ceren (Elsevier Science Bv, 2013-12)
    In this paper, we find bounds on the distribution of the maximum loss of fractional Brownian motion with H >= 1/2 and derive estimates on its tail probability. Asymptotically, the tail of the distribution of maximum loss ...
  • Duman, Oktay (University of Miskolc, 2014)
    In this paper, when approximating a continuos non-negative function on the unit interval, we present an alternative way to the classical Bernstein polynomials. Our new operators become nonlinear, however, for some classes ...
  • Duman, Oktay (Kossuth Lajos Tudomanyegyetem, 2014)
    The aim of this paper is to obtain some approximation theorems for a sequence of singular operators that do not have to be positive in general. In the approximation, we mainly use a general matrix summability process ...
  • Akın, Ömer; Khaniyev, Tahir; Oruc, O.; Turksen, I. B. (Azerbaijan National Academy of Sciences, 2014)
    In this paper, we state a fuzzy initial value problem of the second order fuzzy differential equations. Here, we investigate problems with fuzzy coefficients, fuzzy initial values, and fuzzy forcing functions where fuzzy ...
  • Kılıç, Emrah; Prodinger, Helmut (Mathematical Institute of the Serbian Academy of Sciences and Arts, 2014)
    Four generalizations of the Filbert matrix are considered; with additional asymmetric parameter settings. Explicit formula are derived for the LU-decompositions, their inverses, and the inverse matrix. The approach is ...
  • Kılıç, Emrah (University of Miskolc, 2014)
    In this paper, we consider Marques and Trojovsky's conjecture involving Fibonomial coefficients, Fibonacci and Lucas numbers. After rewriting it in terms of Gaussian q-binomial coefficients and q-Pochhammer symbols, we ...
  • Karaoglu, E.; Merdan, Hüseyin (Cambridge University Press, 2014-01)
    The aim of this paper is to give a detailed analysis of Hopf bifurcation of a ratio-dependent predator-prey system involving two discrete delays. A delay parameter is chosen as the bifurcation parameter for the analysis. ...
  • Kılıç, Emrah; Prodinger, Helmut (University of Waterloo, 2014-02)
    We give a proof of a recent conjecture of Ramirez and Sirvent on the generating function of the incomplete Tribonacci numbers.
  • Yerlikaya-Özkurt, F.; Varda-Acar, Ceren; Yolcu-Okura, Y.; Weber, G. -W. (Elsevier Science Bv, 2014-03)
    In this study, we develop an alternative method for estimating the Hurst parameter using the conic multivariate adaptive regression splines (CMARS) method. We concentrate on the strong solutions of stochastic differential ...
  • Aksoylu, Burak; Unlu, Zuhal (Society for Industrial and Applied Mathematics Publications, 2014-03)
    We study the conditioning of nonlocal integral operators with singular and integrable kernels in fractional Sobolev spaces. These operators are used, for instance, in peridynamics formulation and nonlocal diffusion. In one ...
  • Kılıç, Emrah; Akkus, Ilker; Prodinger, Helmut (Utilitas Mathematica Publishing Inc., 2014-03)
    A generalization of one of Melham's conjectures is presented. After writing it in terms of Gaussian q binomial coefficients, a solution is found using the elementary technique of partial fraction decomposition.
  • Aksoylu, Burak (Elsevier Science Bv, 2014-03)
    We consider the Stokes equation with high-contrast viscosity coefficients. We construct a preconditioner that is robust with respect to contrast size and mesh size simultaneously based on the preconditioner proposed by ...