Browsing Matematik Bölümü / Department of Mathematics by Title
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HardyType Tauberian Conditions on Time Scales
(Birkhauser Verlag AG, 20181001)Hardy’s wellknown Tauberian theorem for number sequences states that if a sequence x= (xk) satisfies lim Cx= L and Δ xk: = xk + 1 xk= O(1 / k) , then lim x= L, where Cx denotes the Cesàro mean (arithmetic mean) of x. In ... 
Hopf bifurcation analysis of coupled twoneuron system with discrete and distributed delays
(Springer, 201607)We study the stability and Hopf bifurcation analysis of a coupled twoneuron system involving both discrete and distributed delays. First, we analyze stability of equilibrium point. Choosing delay term as a bifurcation ... 
Hopf bifurcations in LengyelEpstein reactiondiffusion model with discrete time delay
(Springer, 201502)We investigate bifurcations of the LengyelEpstein reactiondiffusion model involving time delay under the Neumann boundary conditions. Choosing the delay parameter as a bifurcation parameter, we show that Hopf bifurcation ... 
Hopf bifurcations of a ratiodependent predatorprey model involving two discrete maturation time delays
(Elsevier Ltd, 201411)In this paper we give a detailed Hopf bifurcation analysis of a ratiodependent predator prey system involving two different discrete delays. By analyzing the characteristic equation associated with the model, its linear ... 
Hopf Bifurcatıon Analysis For A RatioDependent PredatorPrey System Involving Two Delays
(Cambridge University Press, 201401)The aim of this paper is to give a detailed analysis of Hopf bifurcation of a ratiodependent predatorprey system involving two discrete delays. A delay parameter is chosen as the bifurcation parameter for the analysis. ... 
Identities with squares of binomial coefficients: An elementary and explicit approach
(Mathematical Institute of the Serbian Academy of Sciences and Arts, 2016)In 2014, Slavik presented a recursive method to find closed forms for two kinds of sums involving squares of binomial coefficients. We give an elementary and explicit approach to compute these two kinds of sums. It is based ... 
An Indicator Operator Algorithm for Solving a Second Order Intuitionistic Fuzzy Initial Value Problem
(Matematikçiler Derneği, 2016)L. Zadeh [1] was the first who introduced the concept of fuzzy settheory as an extension of the classical notion of the set theory. He remindedpeople that things are not always black or white; there may besome grey colours ... 
Intuitionistic Fuzzy Initial Value Problems  An Application
(Hacettepe UniversityHacettpe Üniversitesi, 2019)In this paper, by using the properties of ?\alpha? and ?\beta? cuts of intuitionistic fuzzy numbers, we have firstly proposed a method to find the general solution of the second order initial value problem with intuitionistic ... 
Korovkin theorems on weighted spaces: revisited
(Springer, 201712)In this note, using the idea of the late Professor Gadjiev (Mat Zametki 20(5):781786, 1976), we give new, direct and easy proofs of the Korovkin theorems for positive linear operators acting on weighted spaces. Recent ... 
LPolynomials of the Curve
(Springer Verlag, 2015)Let chi be a smooth, geometrically irreducible and projective curve over a finite field Fq of odd characteristic. The Lpolynomial Lchi(t) of chi determines the number of rational points of chi not only over Fq but also ... 
A Mathematical Model Of Hepatitis B Transmission In Turkey
(Ankara UniversityAnkara Üniversitesi, 2019)Hepatitis B infection is one of the serious viral infections that is treating the global health. Turkey has an intermediate endemicity for hepatitis B. In this study, a classical SIR model for hepatitis B virus (HBV) ... 
The Matrix of Super Patalan Numbers and its Factorizations
(University of Nis, 2017)Matrices related to Patalan and superPatalan numbers are factored according to the LUdecomposition. Results are obtained via inspired guessings and later proved using methods from Computer Algebra. 
New analogues of the Filbert and Lilbert matrices via products of two ktuples asymmetric entries
(Hacettepe University, 20200402)In this paper, we present new analogues of the Filbert and Lilbert matrices via products of two ktuples asymmetric entries consist of the Fibonacci and Lucas numbers. We shall derive explicit formulæ for their LUdecompositions ... 
New asymmetric generalizations of the Filbert and Lilbert matrices
(Springer Netherlands, 201906)Two new asymmetric generalizations of the Filbert and Lilbert matrices constructed by the products of two Fibonacci and Lucas numbers are considered, with additional parameter settings. Explicit formulæ are derived for ... 
New binomial double sums with products of Fibonacci and Lucas numbers
(Utilitas Mathematica Publisher Inc., 2019)In this paper, we consider and compute various interesting families of binomial double sums including products of the Fibonacci and Lucas numbers. These sums have nice representations in terms of again the Fibonacci and ... 
New Sums Identities In Weighted Catalan Triangle With The Powers Of Generalized Fibonacci And Lucas Numbers
(Charles Babbage Research Centre, 201407)In this paper, we consider a generalized Catalan triangle defined by k(m)/n(2n n  k) for positive integer m. Then we compute the weighted half binomial sums with the certain powers of generalized Fibonacci and Lucas numbers ... 
Nonlinear Approximation: qBernstein Operators of MaxProduct Kind
(Springer Verlag, 2016)In this paper, we construct a certain family of nonlinear operators in order to approximate a function by these nonlinear operators. For construction, we use the linear qBernstein polynomials and also the maxproduct algebra. 
Nonlinear BernsteinType operators providing a better error estimation
(University of Miskolc, 2014)In this paper, when approximating a continuos nonnegative function on the unit interval, we present an alternative way to the classical Bernstein polynomials. Our new operators become nonlinear, however, for some classes ... 
A nonsymmetrical matrix and its factorizations
(De Gruyter, 201908)We introduce a nonsymmetric matrix defined by qintegers. Explicit formul ae are derived for its LUdecomposition, the inverse matrices L1 and U1 and its inverse. Nonsymmetric variants of the Filbert and Lilbert matrices ... 
A note on the conjecture of Ramirez and Sirvent
(University of Waterloo, 201402)We give a proof of a recent conjecture of Ramirez and Sirvent on the generating function of the incomplete Tribonacci numbers.