Browsing Department of Mathematics by Author "Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematics"

EMU I-REP

Browsing Department of Mathematics by Author "Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematics"

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  • On asymptotical behavior of solution of Riccati equation arising in linear filtering with shifted noises 
    Mazhar, Zeka; Bashirov, Agamirza E. (Springer Netherlands, 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 ...
  • 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 ...
  • 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-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 ...
  • 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 ...
  • Smoothness Properties of Modified Bernstein-Kantorovich Operators 
    Özarslan, Mehmet Ali; Duman, Oktay (Taylor & Francis, 2016)
    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 ...
  • Solvability of differential equations of order 2 < alpha <= 3 involving the p-Laplacian operator with boundary conditions 
    Özarslan, Mehmet Ali; Aktuğlu, Hüseyin (Springer International Publishing AG, 2013)
    In this paper, we study the existence of solutions for non-linear fractional differential equations of order 2 < α ≤ 3 involving the p-Laplacian operator with various boundary value conditions including an anti-periodic ...
  • Statistical approximation of Baskakov and Baskakov-Kantorovich operators based on the q-integers 
    Mahmudov, Nazim I. (SP Versita, 2010)
    In the present paper we introduce and investigate weighted statistical approximation properties of a q-analogue of the Baskakov and Baskakov-Kantorovich operators. By using a weighted modulus of smoothness, we give some ...
  • Two-parameter Srivastava polynomials and several series identities 
    Kaanoğlu, Cem; Özarslan, Mehmet Ali (Springer Science & Business Media, 2013)
    In the present paper, we introduce two-parameter Srivastava polynomials in one, two and three variables by inserting new indices, where in the special cases they reduce to (among others) Laguerre, Jacobi, Bessel and Lagrange ...
  • Unified Bernstein and Bleimann-Butzer-Hahn basis and its properties 
    Özarslan, Mehmet Ali; Bozer, Mehmet (Springer International Publishing AG, 2013)
    In this paper we introduce the unification of Bernstein and Bleimann-Butzer-Hahn basis via the generating function. We give the representation of this unified family in terms of Apostol-type polynomials and Stirling numbers ...