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

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  • Boundary Value Problems Arising in Kalman Filtering 
    Bashirov, Agamirza; Mazhar, Zeka; Ertürk, Sinem (Springer International Publishing, 2008)
    The classic Kalman filtering equations for independent and correlated white noises are ordinary differential equations (deterministic or stochastic) with the respective initial conditions. Changing the noise processes by ...
  • Chlodowsky-type q-Bernstein-Stancu-Kantorovich operators 
    Özarslan, Mehmet Ali; Vedi, Tuba (Springer International Publishing AG, 2015)
    In this paper, we introduce Chlodowsky-type q-Bernstein-Stancu-Kantorovich operators on the unbounded domain. We should note that this generalization includes various kinds of operators which have not been introduced ...
  • Chlodowsky variant of q-Bernstein-Schurer-Stancu operators 
    Özarslan, Mehmet Ali; Vedi, Tuba (Springer International Publishing, 2014)
    It was Chlodowsky who considered non-trivial Bernstein operators, which help to approximate bounded continuous functions on the unbounded domain. In this paper, we introduce the Chlodowsky variant of q-Bernstein-Schurer-Stancu ...
  • Colliding Wave Solutions in a Symmetric Non-Metric Theory 
    Gürtuğ, Özay; Halilsoy, Mustafa (Springer US, 2009)
    A method is given to generate the non-linear interaction (collision) of linearly polarized gravity coupled torsion waves in a non-metric theory. Explicit examples are given in which strong mutual focussing of gravitational ...
  • Delay structure of wideband noises with application to filtering problems 
    Bashirov, Agamirza; Mazhar, Zeka; Etikan, Hüseyin; Ertürk, Sinem (Wiley Online Library, 2013)
    Filtering of random processes is one of the central subjects in the theory of random processes. Especially, Kalman filtering, originating from the famous works of Kalman and Bucy [1, 2], is one of the powerful methods of ...
  • Differential equations for the extended 2D Bernoulli and Euler polynomials 
    Özarslan, Mehmet Ali; Yılmaz, Banu (Springer International Publishing AG, 2013)
    In this paper, we introduce the extended 2D Bernoulli polynomials by t(alpha)/(e(t) - 1)(alpha) c(xt+ytj) = Sigma(infinity)(n=0) B-n((alpha,j)) (x,y,c) t(n)/n! and the extended 2D Euler polynomials by 2(alpha)(e(t) + ...
  • Effect of sources on the inner horizon of black holes 
    Gürtuğ, Özay; Halilsoy, Mustafa (The American Physcial Society, 2001)
    A single pulse of null dust and colliding null dust both transform a regular horizon into a spacelike singularity in the space of colliding waves. The local isometry between such space-times and black holes extrapolates these ...
  • An Enhancement To The Block Implicit Procedure For The Treatment Of The Velocity-Pressure Coupling Problem In Incompressıble Fluid Flow 
    Mazhar, Zeka (Taylor & Francis, 2002)
    The performance of two new non-segregated, block implicit procedures; BIP and BIPEN are compared with the well known SIMPLER procedure, applied to benchmark problems of various sizes. It is demonstrated that BIP provides ...
  • Exploiting colored Petri nets to decide on permutation admissibility 
    Bashirov, Rza; Kordon, Fabrice; Lort, Hüseyin (Acta Informatica, Springer, 2009)
    In this work, we propose an innovative approach to investigate the admissibility of permutations to multistage interconnection networks — a challenging problem of switching theory. The proposed approach is centered upon ...
  • The extended Mittag-Leffler function and its properties 
    Özarslan, Mehmet Ali; Yılmaz, Banu (Springer International Publishing, 2014)
    In this paper, we present the extended Mittag-Leffler functions by using the extended Beta functions (Chaudhry et al. in Appl. Math. Comput. 159:589-602, 2004) and obtain some integral representations of them. The Mellin ...
  • Extension of gamma, beta and hypergeometric functions 
    Özergin, Emine; Özarslan, Mehmet Ali; Altın, Abdullah (Elsevier B.V, 2011)
    The main object of this paper is to present generalizations of gamma, beta and hypergeometric functions. Some recurrence relations, transformation formulas, operation formulas and integral representations are obtained for ...
  • Families of linear generating functions for polynomials in two variables 
    Özarslan, Mehmet Ali; Altın, Abdullah; Erkuş, Esra (Taylor & Francis, 2006)
    In the present paper, we derive various families of linear, mixed multilateral and multilinear generating functions for a class of polynomials in two variables. Some further results of the above types are also discussed.
  • Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials 
    Özarslan, Mehmet Ali (Springer International Publishing AG, 2013)
    In this paper, we introduce a unified family of Hermite-based Apostol-Bernoulli, Euler and Genocchi polynomials. We obtain some symmetry identities between these polynomials and the generalized sum of integer powers. We ...
  • The highly accurate block-grid method in solving Laplace’s equation for nonanalytic boundary condition with corner singularity 
    Dosiyev, A.A.; Buranay, S.C.; Subaşı, Derviş (Elsevier, 2011-12-27)
    The highly accurate block-grid method for solving Laplace’s boundary value problems on polygons is developed for nonanalytic boundary conditions of the first kind. The quadrature approximation of the integral representations ...
  • Identifying targets for gene therapy of β-globin disorders using quantitative modeling approach 
    Bashirov, Rza; Mehraei, Mani (Elsevier, 2017-08)
    Sickle cell disease and β-thalassemia are well-known genetic disorders which are caused by mutations in β-globin gene. Reactivation of fetal hemoglobin in adulthood through induction of γ-globin gene expression has proven ...
  • Korovkin type approximation theorem for BBH type operators via J-convergence 
    Özarslan, Mehmet Ali; Aktuğlu, Hüseyin (Versıta, 2010)
    This paper provides a Korovkin type approximation theorem for a class of positive linear operators including Bleimann-Butzer and Hahn operators via J-convergence.
  • Korovkin type theorem for non‐tensor Balázs type Bleimann, Butzer and Hahn operators 
    Özarslan, Mehmet Ali; Aktuğlu, Hüseyin (WILEY-BLACKWELL, 2015)
    In this paper, we prove a certain Korovkin type approximation theorem by introducing new test functions. We introduce the non-tensor Balázs type Bleimann, Butzer and Hahn operators and give the approximation property by ...
  • Local approximation properties for certain King type operators 
    Özarslan, Mehmet Ali; Aktuğlu, Hüseyin (UNIV NIS, FAC SCI MATH, 2013)
    In this paper, we consider a certain King type operators which includes general families of Szasz-Mirakjan, Baskakov, Post-Widder and Stancu operators. By introducing two parameter family of Lipschitz type space, which ...
  • Local approximation results for Szász-Mirakjan type operators 
    Özarslan, Mehmet Ali; Duman, Oktay (SP Birkhäuser Verlag Basel, 2008)
    In this study, motivating our earlier work [O. Duman and M.A. Ozarslan, Szasz-Mirakjan type operators providing a better error estimation. Appl. Math. Lett. 20, 1184--1188 (2007)], we investigate the local approximation ...
  • The moments for q-Bernstein operators in the case 0 < q < 1 
    Mahmudov, Nazim I. (Springer US, 2010)
    In this note we give the estimates of the central moments for q-Bernstein operators (0 < q < 1) which can be used for studying the approximation properties of the operators.