Now showing items 1-20 of 72

    • Analysis of an epidemic model for transmitted disease in two age classes 

      Gölgeli, Meltem; Atay, F. M. (Hacettepe Journal of Mathematics and Statistics, 2020-06)
      Infectious diseases are a serious problem for public health and spark the interest in interdisciplinary studies. In this paper, we present two mathematical models describing a possible scenario for infectious diseases. The ...
    • Approximation by max-min operators: A general theory and its applications 

      Gökçer, Yeliz Türkan; Duman, Oktay (Elsevier B.V., 2020-09-01)
      In this study, we obtain a general approximation theorem for max-min operators including many significant applications. We also study the error estimation in this approximation by using Hölder continuous functions. The ...
    • Asset price dynamics for a two-asset market system 

      Bulut, H.; Merdan, Hüseyin; Swigon, D. (American Institute of Physics Inc., 2019-02)
      We present a mathematical model for a market involving two stocks which are traded within a single homogeneous group of investors who have similar motivations and strategies for trading. It is assumed that the market ...
    • Asymmetric generalizations of the Filbert matrix and variants 

      Kılıç, Emrah; Prodinger, Helmut (Mathematical Institute of the Serbian Academy of Sciences and Arts, 2014)
      Four generalizations of the Filbert matrix are considered; with additional asymmetric parameter settings. Explicit formula are derived for the LU-decompositions, their inverses, and the inverse matrix. The approach is ...
    • A nonlinear generalization of the Filbert matrix and its Lucas analogue 

      Kılıç, Emrah; Arıkan, Talha (Taylor and Francis Ltd., 2019-01)
      In this paper, we present both a new generalization and an analogue of the Filbert matrix (Formula presented.) by the means of the Fibonacci and Lucas numbers whose indices are in nonlinear form (Formula presented.) for ...
    • Closed Form Evaluation Of Melham's Reciprocal Sums 

      Kılıç, Emrah; Prodinger, H. (Univ Miskolc Inst Math, 2017)
      Recently Melham [1] gives closed formul ae for certain finite reciprocal sums. In this paper, we present a different approach to compute these sums in closed form. Our approach is straight-forward and simple. First we ...
    • Closed form evaluation of restricted sums containing squares of Fibonomial coefficients 

      Kılıç, Emrah; Prodinger, Helmut (Politechnica University of Bucharest, 2016)
      We give a systematic approach to compute certain sums of squares Fibonomial coefficients with powers of generalized Fibonacci and Lucas numbers as coefficients; the range of the summation is not the natural one but about ...
    • Closed form evaluation of sums containing squares of Fibonomial coefficients 

      Kılıç, Emrah; Prodinger, Helmut (De Gruyter Open Ltd, 2016-06)
      We give a systematic approach to compute certain sums of squares of Fibonomial coefficients with finite products of generalized Fibonacci and Lucas numbers as coefficients. The technique is to rewrite everything in terms ...
    • The concept of Hukuhara derivative and Aumann integral for intuitionistic fuzzy number valued functions 

      Akın, Ömer; Bayeğ, Selami (Kyrgyz Turkish Manas UniversityKırgızistan Türkiye Manas Üniversitesi, 2018)
      In this paper we have rstly dened a metric based on the Hausdor metric in intuitionistic fuzzy environment and studied its properties. Then we have proved that the metric space of intuitionistic fuzzy number valued ...
    • Decompositions of the Cauchy and Ferrers-Jackson polynomials 

      Irmak, Nurettin; Kılıç, Emrah (Udruga Matematicara Osijek, 2016)
      Recently, Witula and Slota have given decompositions of the Cauchy and Ferrers-Jackson polynomials [Cauchy, Ferrers-Jackson and Chebyshev polynomials and identities for the powers of elements of some conjugate recurrence ...
    • Double binomial sums and double sums related with certain linear recurrences of various order 

      Kılıç, Emrah; Arıkan, Talha (Chiang Mai University, 2018-05-01)
      In this paper, we derive new double binomial sums families related with generalized second, third and certain higher order linear recurrences. We also present various parametric generalizations of some results of [1, 2]. ...
    • Estimation of the Hurst parameter for fractional Brownian motion using the CMARS method 

      Yerlikaya-Özkurt, F.; Varda-Acar, Ceren; Yolcu-Okura, Y.; Weber, G. -W. (Elsevier Science Bv, 2014-03)
      In this study, we develop an alternative method for estimating the Hurst parameter using the conic multivariate adaptive regression splines (CMARS) method. We concentrate on the strong solutions of stochastic differential ...
    • Evaluation of Hessenberg Determinants via Generating Function Approach 

      Kılıç, Emrah; Arikan, Talha (University of Nis, 2017)
      In this paper, we will present various results on computing of wide classes of Hessenberg matrices whose entries are the terms of any sequence. We present many new results on the subject as well as our results will cover ...
    • Evaluation of spectrum of 2-periodic tridiagonal-Sylvester matrix 

      Kılıç, Emrah; Arikan, Talha (Scientific Technical Research Council TurkeyTürkiye bilimsel ve teknolojik araştırma kurumu, 2016)
      The Sylvester matrix was first defined by JJ Sylvester. Some authors have studied the relationships between certain orthogonal polynomials and the determinant of the Sylvester matrix. Chu studied a generalization of the ...
    • Evaluation of sums involving products of Gaussian q-binomial coefficients with applications 

      Kılıç, Emrah; Prodinger, Helmut (De Gruyter, 2019-04)
      Sums of products of two Gaussian q-binomial coefficients, are investigated, one of which includes two additional parameters, with a parametric rational weight function. By means of partial fraction decomposition, first the ...
    • Evaluation of sums involving products of Gaussian q-binomial coefficients with applications to Fibonomial sums 

      Kılıç, Emrah; Prodinger, Helmut (Scientific Technical Research Council TurkeyTürkiye bilimsel ve teknolojik araştırma kurumu, 2017)
      Sums of products of two Gaussian q-binomial coefficients with a parametric rational weight function are considered. The partial fraction decomposition technique is used to evaluate the sums in closed form. Interesting ...
    • Evaluation of sums of products of Gaussian q-binomial coefficients with rational weight functions 

      Arıkan, Talha; Kılıç, Emrah; Prodinger, Helmut (TÜBİTAK, 2020)
      Generalizing earlier results, sums over the products of the Gaussian q-binomial coefficients are computed. Some applications of the results for special choices of q are emphasized. The results are obtained by the elementary ...
    • Evaluation of various partial sums of Gaussian q-binomial sums 

      Kılıç, Emrah (Springer Berlin Heidelberg, 2018-06-01)
      We present three new sets of weighted partial sums of the Gaussian q-binomial coefficients. To prove the claimed results, we will use q-analysis, Rothe's formula and a q-version of the celebrated algorithm of Zeilberger. ...
    • Evaluation of sums containing triple aerated generalized Fibonomial coefficients 

      Kılıç, Emrah (De Gruyter Open Ltd, 2017-04)
      We evaluate a class of sums of triple aerated Fibonomial coefficients with a generalized Fibonacci number as coefficient. The technique is to rewrite everything in terms of a variable q and then to use Rothe's identity ...
    • Explicit spectrum of a circulant-tridiagonal matrix with applications 

      Kılıç, Emrah; Yalciner, Aynur (American Institute of Physics Inc., 2019-07)
      We consider a circulant-tridiagonal matrix and compute its determinant by using generating function method. Then we explicitly determine its spectrum. Finally we present applications of our results for trigonometric ...