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Browsing Matematik Bölümü / Department of Mathematics by Title

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  • Ozbudak, Ferruh; Saygı, Zülfükar (Springer, 2014-11)
    In this note we have revisited some of the results of Trachtenberg (On the cross-correlation functions of maximal linear sequences, Ph.D. thesis, University of Southern California, Los Angeles, 1970), which are directly ...
  • Afşar, Kübra; Saygı, Zülfükar; Tilenbaev, Ernist; Güner, Erdal (Longdom Publishing, 2017-09)
    In this paper we evaluate the number of monic irreducible polynomials in ??2[??] of even degree ?? whose first four coefficients have prescribed values. This problem first studied in [7] and some approximate results are ...
  • Saygı, Zülfükar; Tilenbaev, Ernist; Ürtiş, Çetin (TÜBİTAK, 2019)
    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; ...
  • Ozbudak, Ferruh; Saygı, Zülfükar (Taylor and Francis Inc., 2014-09)
    Let F-q be an arbitrary finite field of characteristic 2 and k be an arbitrary even integer. We count the number of quadratic forms having codimension 2 radicals on F-q(k) over F-q such that the corresponding curve is ...
  • Beyer, Horst Reinhard; Aksoylu, Burak; Çeliker, Fatih (American Institute of Physics Inc., 2016-06)
    We study equations from the area of peridynamics, which is a nonlocal extension of elasticity. The governing equations form asystem of nonlocal wave equations. We take a novel approach by applying operator theory methods ...
  • Bolat, Yasar; Akın, Ömer (De Gruyter Open Ltd, 2016-06)
    In this paper, oscillation criteria are obtained for higher-order half-linear delay difference equations involving generalized difference operator of the form Delta(b) (p(n) (Delta(m-1)(b) x(n))(alpha)) + q(n)x(n-sigma)(beta) ...
  • 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; 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 ...
  • Ürtiş, Çetin (Shanghai Scientific Technology Literature Publishing House, 2014-08)
    The author shows that the (partial) standard Langlands L-functions on quarternion groups have at most simple poles at certain positive integers.
  • 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 ...
  • 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 ...
  • 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 ...
  • Kılıç, Emrah; Arıkan, Talha (Integers, 2016-03)
    We present generalizations of Ruehr’s identities with two additional parameters. We prove the claimed results by two di?erent proof methods, namely combinatorially and mechanically. Further, we derive recurrence relations ...
  • Duman, Oktay (Springer, 2016-09)
    In this paper, we approximate a continuous function in a polydisc by means of multivariate complex singular operators which preserve the analytic functions. In this singular approximation, we mainly use a regular summability ...
  • Ozarslan, Mehmet Ali; Duman, Oktay (Taylor and Francis Inc., 2016-01)
    In this article, we consider modified Bernstein-Kantorovich operators and investigate their approximation properties. We show that the order of approximation to a function by these operators is at least as good as that of ...
  • Akın, Ömer; Khaniyev, Tahir; Bayeğ, Selami; Türkşen, İ. B. (Matematikçiler Derneği, 2016-06)
    In this paper, we reformulate the algorithm in [7] to find an analytical expression for ?-cuts of the solution of the second order nonhomogeneous fuzzy initial value problem with fuzzy initial values and fuzzy forcing ...
  • Kılıç, Emrah (2016-09)
    In this paper, we consider three classes of generalized alternating weighted binomial sums of the form where f (n, i, k, t) will be chosen as UktiVkn?k(t+2)i, UktiVkn?kti and UtkiV(k+1)tn?(k+2)ti. We use the Binet formula ...
  • 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; Prodinger, Helmut (Indian National Science Academy, 2016-09)
    We introduce and compute some Gaussian q-binomial sums formul ae. In order to prove these sums, our approach is to use q-analysis, in particular a formula of Rothe, and computer algebra. We present some applications of our ...
  • 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 ...