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EMU I-REP

Browsing MAT – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Mathematics by Title

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  • On a class of generalized q-Bernoulli and q-Euler polynomials 
    Mahmudov, Nazim I.; Keleshteri, M Eini (Springer International Publishing AG, 2013)
    The main purpose of this paper is to introduce and investigate a new class of generalized q-Bernoulli and q-Euler polynomials. The q-analogues of well-known formulas are derived. A generalization of the Srivastava-Pintér ...
  • On a singular integral equation including a set of multivariate polynomials suggested by Laguerre polynomials 
    Özarslan, Mehmet Ali (Elsevier, 2014)
    In this paper, we introduce the class of polynomials Zn1,…,nj(α)(x1,…,xj;ρ1,…,ρj) suggested by the multivariate Laguerre polynomials. We give Schläfli’s contour integral representation and calculate the fractional order ...
  • On asymptotical behavior of solution of Riccati equation arising in linear filtering with shifted noises 
    Bashirov, Agamirza E.; Mazhar, Zeka (Springer, 2007)
    In this paper we consider a linear signal system together with the two linear observation systems. The observation systems differ from each other by the noise processes. The noise of one of them is a constant shift in time ...
  • On modeling with multiplicative differential equations 
    Tandoğdu, Yücel; Bashirov, Agamirza; Mısırlı, Emine; Özyapıcı, Ali (SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities, 2011)
    This work is aimed to show that various problems from different fields can be modeled more efficiently using multiplicative calculus, in place of Newtonian calculus. Since multiplicative calculus is still in its infancy, ...
  • On path dependent loss and switch crosstalk reduction in optical networks 
    Bashirov, Rza; Karanfiller, Tolgay (Elsevier, 2010)
    Although optical multistage interconnection networks (OMINs) promise to meet the ever growing demands of communication networks and multiprocessor systems in fast communication, they suffer from challenges such as path ...
  • On path dependent loss and switch crosstalk reduction in optical networks 
    Bashirov, Rza (Information Sciences, Elsevier, 2010)
    Although optical multistage interconnection networks (OMINs) promise to meet the ever growing demands of communication networks and multiprocessor systems in fast communication, they suffer from challenges such as path ...
  • On the preconditioning conjugate gradient method for the solution of 9-point elliptic difference equations 
    Mazhar, Zeka; Daoud, D.S; Subaşı, Deniz (Elsevier B.V, 1994)
    The Preconditioned Conjugate Gradient (PCG) method is implemented to solve the system with 9 diagonal entries generated from a 9-point finite difference approximation of the self-adjoint elliptic partial differential ...
  • Partial controllability concepts 
    Şemi, Nidai; Bashirov, Agamirza; Mahmudov, Nazim I. (Taylor & Francis Group, 2007)
    The main results in theory of controllability are formulated for deterministic or stochastic control systems given in a standard form. i.e., given as a first order differential equation driven by an infinitesimal generator ...
  • A PROCEDURE FOR THE TREATMENT OF THE VELOCITY-PRESSURE COUPLING PROBLEM IN INCOMPRESSIBLE FLUID FLOW 
    Mazhar, Zeka (Taylor & Francis (Routledge), 2001)
    A new block implicit procedure ( BID) is introduced which utilizes a simple incomplete decomposition of the matrix resulting from the discretization of the momentum and mass conservation equations for incompressible uid ...
  • q-Bernstein-Schurer-Kantorovich Operators 
    Özarslan, Mehmet Ali; Vedi, Tuba (Springer International Publishing, 2013)
    In the present paper, we introduce the q-Bernstein-Schurer-Kantorovich operators. We give the Korovkin-type approximation theorem and obtain the rate of convergence of this approximation by means of the first and the ...
  • q-Parametric Bleimann Butzer and Hahn Operators 
    Mahmudov, Nazim I.; Sabancıgil, Pembe (Hindawi Publishing Corporation, 2008)
    We introduce a new q -parametric generalization of Bleimann, Butzer, and Hahn operators in [superscript]C1+x*[/superscript] [0,∞) . We study some properties of q -BBH operators and establish the rate of convergence for q ...
  • q-Parametric Bleimann Butzer and Hahn Operators 
    Mahmudov, Nazim I.; Sabancıgil, Pembe (Hindawi Publishing Corporation, 2008)
    We introduce a new q-parametric generalization of Bleimann, Butzer, and Hahn operators in C∗ 1x0, ∞ . We study some properties of q-BBH operators and establish the rate of convergence for q-BBH operators. We discuss ...
  • q-Szász operators which preserve x 2 
    Mahmudov, Nazim I. (Springer Verlag, 2013)
    In the present paper we construct q-Szász operators that preserve the third test function e 2. Rate of global convergence is obtained in the frame of weighted spaces. Furthermore, we obtain a Voronovskaja type theorem for ...
  • Quantitative global estimates for generalized double Szasz-Mirakjan operators 
    Özarslan, Mehmet Ali; Aktuğlu, Hüseyin (HINDAWI PUBLISHING CORPORATION, 2013)
    We introduce the generalized double Szász-Mirakjan operators in this paper. We obtain several quantitative estimates for these operators. These estimates help us to determine some function classes (including some Lipschitz-type ...
  • Rates of Ideal Convergence for Approximation Operators 
    Özarslan, Mehmet Ali; Duman, Oktay (SP Birkhäuser Verlag Basel, 2010)
    In this paper, we study a general Korovkin-type approximation theory by using the notion of ideal convergence which includes many convergence methods, such as, the usual convergence, statistical convergence, A-statistical ...
  • Rearrangeability of (2 log n N− 1)-stage networks employing a uniform connection pattern 
    Bashirov, Rza (Calcolo, Springer, 2001)
    In this paper, we study the rearrangeablity of multistage networks. Although the necessity of (2 lgN −1)1 stages for rearrangeability of a shuffle-exchange network has been known, the sufficiency of (2 lgN −1) stages has ...
  • Reflection of electromagnetic waves from mixtures of plane gravitational and scalar waves 
    Gürtuğ, Özay; Halilsoy, Mustafa; Ünver, Özlem (American Physical Soc, 2006)
    We consider colliding wave packets consisting of hybrid mixtures of electromagnetic, gravitational, and scalar waves. Irrespective of the scalar field, the electromagnetic wave still reflects from the gravitational wave. ...
  • Search for gravitational waves through the electromagnetic Faraday rotation 
    Halilsoy, Mustafa; Gürtuğ, Özay (AMER PHYSICAL SOC, 2007)
    A method is given which renders indirect detection of strong gravitational waves possible. This is based on the reflection (collision) of a linearly polarized electromagnetic shock wave from (with) a cross polarized impulsive ...
  • A set of finite order differential equations for the Appell polynomials 
    Özarslan, Mehmet Ali; Yılmaz, Banu (Elsevier Science BV, 2014)
    Let { (x)}n=0 denote the set of Appell polynomials which includes, among others, Hermite, Bernoulli, Euler and Genocchi polynomials. In this paper, by introducing the generalized factorization method, for each kâ̂̂N, we ...
  • Singular integral equation involving a multivariable analog of Mittag-Leffler function 
    Gaboury, Sebastien; Özarslan, Mehmet Ali (Springer International Publishing, 2014)
    Motivated by the recent work of the second author (Özarslan in Appl. Math. Comput. 229:350-358, 2014), we present, in this paper, some fractional calculus formulas for a mild generalization of the multivariable Mittag-Leffler ...