Açık Akademik Arşiv Sistemi

Browsing Makale Koleksiyonu by Title

Browsing Makale Koleksiyonu by Title

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  • Generalized difference sequence spaces associated with a multiplier sequence on a real n-normed space 
    Konca, Şükran; Başarır, Metin (SPRINGEROPEN, 2013)
    The purpose of this paper is to introduce new sequence spaces associated with a multiplier sequence by using an infinite matrix, an Orlicz function and a generalized B-difference operator on a real n-normed space. Some ...
  • Generalized Fibonacci and Lucas numbers of the form 5x(2) 
    Keskin, Refik; Karaatlı, Olcay (WORLD SCIENTIFIC PUBL CO PTE LTD, 2015)
    Let (U-n(P, Q) and (V-n(P, Q) denote the generalized Fibonacci and Lucas sequences, respectively. In this study, we assume that Q = 1. We determine all indices n such that U-n = 5 square and U-n = 5U(m)square under some ...
  • GENERALIZED FIBONACCI AND LUCAS NUMBERS OF THE FORM wx(2) AND wx(2) 1 
    Keskin, Refik (KOREAN MATHEMATICAL SOC, 2014)
    Let P >= 3 be an integer and let (U-n) and (V-n) denote generalized Fibonacci and Lucas sequences defined by U-0 = 0,U-1 = 1; V-0 = 2,V-1 = P, and Un+1 = PUn Un-1 Vn+1 = PVn - Vn-1 for n >= 1. In this study, when P is odd, ...
  • Generalized Fibonacci numbers of the form 
    Keskin, Refik; Öğüt, Ümmügülsüm (SPRINGER, 2016)
    Let be an integer and let and denote generalized Fibonacci and Lucas sequences defined by ; and , for In this study, when P is odd, we solve the equation for After then, we solve some Diophantine equations utilizing solutions ...
  • GENERALIZED FIBONACCI NUMBERS OF THE FORM 11x(2) 
    Öğüt, Ümmügülsüm; Keskin, Refik (HONAM MATHEMATICAL SOC, 2018)
    Let P >= 3 be an integer and let (U-n) denote generalized Fibonacci sequence defined by U-0 = 0, U-1 = 1 and Un+1 = PUn - Un-1 for n >= 1. In this study, when P is odd, we solve the equation U-n = 11x(2) + 1. We show that ...
  • Generalized Forchheimer flows in heterogeneous porous media 
    Çelik, Emine; Luan Hoang; Luan Hoang (IOP PUBLISHING LTD, 2016)
    We study the generalized Forchheimer flows of slightly compressible fluids in heterogeneous porous media. The media's porosity and coefficients of the Forchheimer equation are functions of the spatial variables. The partial ...
  • Generalized Forchheimer Flows of Isentropic Gases 
    Çelik, Emine; Luan Hoang; Thinh Kieu (SPRINGER BASEL AG, 2018)
  • GENERALIZED LUCAS NUMBERS OF THE FORM 5kx(2) AND 7kx(2) 
    Karaatlı, Olcay; Keskin, Refik (KOREAN MATHEMATICAL SOC, 2015)
    Generalized Fibonacci and Lucas sequences (U-n) and (V-n) are defined by the recurrence relations Un+1 = PUn +QU(n-1) and Vn+1 = PVn + QV(n-1), n >= 1, with initial conditions U-0 = 0, U-1 = 1 and V-0 = 2, V-1 = P. This ...
  • Generalized quadraticity of linear combination of two generalized quadratic matrices 
    Petik, Tuğba; Özdemir, Halim (TAYLOR & FRANCIS LTD, 2015)
    It is investigated the necessary and sufficient conditions for the generalized quadraticity of a linear combination of any two generalized quadratic matrices. The main result obtained is, in a sense, a generalization of ...
  • GENERALIZED SPACELIKE BERTRAND CURVES IN MINKOWSKI 5-SPACE R-1(5) 
    Ersoy, Soley (NATL INQUIRY SERVICES CENTRE PTY LTD, 2014)
    In this paper, we give the definition of the generalization of spacelike Bertrand curves and obtain the characterization of these curves in Minkowski 5-space R-1(5). Moreover, we define three types special spacelike Bertrand ...
  • Generalized Timelike Mannheim Curves in Minkowski Space-Time E-1(4) 
    Özgür, İbrahim; Akyiğit, Mahmut; Ersoy, Soley; Tosun, Murat (HINDAWI PUBLISHING CORPORATION, 2011)
    We give the definition of generalized timelike Mannheim curve in Minkowski space-time E-1(4). The necessary and sufficient conditions for the generalized timelike Mannheim curve are obtained. We show some characterizations ...
  • Geometry of the Hyperbolic Spinors Corresponding to Alternative Frame 
    Erişir, Tülay; Güngör, Mehmet Ali; Tosun, Murat (SPRINGER BASEL AG, 2015)
    In this paper, we study to express the theory of curves including a wide section of Lorentzian geometry in terms of spinors with two hyperbolic components which has an important place in the Clifford algebra. In other ...
  • Global Asymptotic Stability of Solutions to Nonlinear Marine Riser Equation 
    Gür, Şevket (HINDAWI PUBLISHING CORPORATION, 2010)
    This paper studies initial boundary value problem of fourth-order nonlinear marine riser equation. By using multiplier method, it is proven that the zero solution of the problem is globally asymptotically stable.
  • HOMFLY polynomials of torus links as generalized Fibonacci polynomials 
    Kemal Taskopru; Altıntaş, İsmet (ELECTRONIC JOURNAL OF COMBINATORICS, 2015)
    The focus of this paper is to study the HOMFLY polynomial of (2, n)-torus link as a generalized Fibonacci polynomial. For this purpose, we first introduce a form of generalized Fibonacci and Lucas polynomials and provide ...
  • Homothetic Cayley Formula and its Applications 
    Dogan Unal; Güngör, Mehmet Ali; Tosun, Murat (SPRINGER BASEL AG, 2016)
    In this study the homothetic Cayley Formula has been defined for an antisymmetric matrix and the relation between an antisymmetric matrix and a vector has been given. Hence Rodrigues and Euler parameters have been obtained ...
  • Integral points on the elliptic curve y(2) = x(3)+27x-62 
    Karaatlı, Olcay; Keskin, Refik (SPRINGEROPEN, 2013)
    We give a new proof that the elliptic curve y(2) = x(3) + 27x - 62 has only the integral points (x, y) = (2, 0) and (x, y) = (28,844,402, +/- 15,491,585,540) using elementary number theory methods and some properties of ...
  • Introduction to disoriented knot theory 
    Altıntaş, İsmet (DE GRUYTER POLAND SP ZOO, 2018)
    This paper is an introduction to disoriented knot theory, which is a generalization of the oriented knot and link diagrams and an exposition of new ideas and constructions, including the basic definitions and concepts such ...
  • Investigation of Dual-Complex Fibonacci, Dual-Complex Lucas Numbers and Their Properties 
    Güngör, Mehmet Ali; Azak, Ayşe Zeynep (SPRINGER BASEL AG, 2017)
    In this study, we define the dual complex Fibonacci and Lucas numbers. We give the generating functions and Binet formulas for these numbers. Moreover, the well-known properties e.g. Cassini and Catalan identities have ...
  • Lacunary Delta-statistical convergence in intuitionistic fuzzy n-normed space 
    Altundağ, Selma (SPRINGEROPEN, 2014)
    The concept of lacunary statistical convergence was introduced in intuitionistic fuzzy n-normed spaces in Sen and Debnath (Math. Comput. Model. 54: 2978-2985, 2011). In this article, we introduce the notion of lacunary ...
  • Lamarle formula in 3-dimensional Lorentz space 
    Ersoy, Soley; Tosun, Murat (UNIV OSIJEK, DEPT MATHEMATICS, 2011)
    The Lamarle Formula is known as a relationship between the Gaussian curvature and the distribution parameter (Drall) of a ruled surface in the surface theory, [12]. In R-1(3), the non-null ruled surfaces were investigated ...