Browsing Matematik Bölümü / Department of Mathematics by Issue Date
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An Algorithm for the solution of second order Fuzzy Initial Value Problem
(PergamonElsevier Science Ltd, 201301)In this paper, we state a fuzzy initial value problem of the second order fuzzy differential equations. Here we investigate problems with fuzzy coefficients, fuzzy initial values and fuzzy forcing functions. We ... 
Oscillation Criteriaof impulsive partial difference Equations
(Matematikçiler Derneği, 201301)In this paper, some oscillation criteria of certain impulsive partial difference equations with continuous variables are established. 
Variants of the Filbert Matrix
(Fibonacci Association, 201305)A variation of the Filbert matrix from [1] is introduced, which has one additional Fibonacci factor in the numerator. We also introduce its Lucas counterpart by taking Lucas numbers instead of Fibonacci numbers in a similar ... 
On the correlation of the supremum and the infimum and of maximum gain and maximum loss of Brownian motion with drift
(Elsevier Science Bv, 201308)Investors are naturally interested in the supremum and the infimum of stock prices, also in the maximum gain and the maximum loss over a time period. To shed light on these relatively complicated aspects of sample paths, ... 
Generalization of statistical Korovkin theorems
(Hindawi Publishing, 201308)We generalize and develop the Korovkintype approximation theory by using an appropriate abstract space. We show that our approximation is more applicable than the classical one. At the end, we display some applications. 
Some Double binomial sums related to Fibonacci, Pell and generalized orderk Fibonacci numbers
(Rocky Mt Math Consortium, 201310)We consider some double binomial sums related to the Fibonacci and Pell numbers and a multiple binomial sum related to the generalized orderk Fibonaccinumbers. The LagrangeBurmann formula and other wellknown techniques ... 
Some weighted sums of products of Lucas sequences
(Integers, 201311)In this paper, we consider the weighted sums of products of Lucas sequences of the form (Formula Presented) where rn and sn are the terms of Lucas sequences {Un} and {Vn} for some positive integers t and m. By using ... 
SylvesterTridiagonal Matrix with Alternating main diagonal entries and its Spectra
(Walter De Gruyter Gmbh, 201311)Recently some generalizations of Sylvester type tridiagonal matrices have been considered with their spectra. We introduce a new kind generalization of Sylvester type tridiagonal matrix by considering its main diagonal entries. ... 
Distribution of maximum loss of fractional Brownian motion with drift
(Elsevier Science Bv, 201312)In this paper, we find bounds on the distribution of the maximum loss of fractional Brownian motion with H >= 1/2 and derive estimates on its tail probability. Asymptotically, the tail of the distribution of maximum loss ... 
Some possible fuzzy solutions for second order fuzzy initial value problems involving forcing terms
(Azerbaijan National Academy of Sciences, 2014)In this paper, we state a fuzzy initial value problem of the second order fuzzy differential equations. Here, we investigate problems with fuzzy coefficients, fuzzy initial values, and fuzzy forcing functions where fuzzy ... 
A proof of a conjecture of Marques and Trojovsky
(University of Miskolc, 2014)In this paper, we consider Marques and Trojovsky's conjecture involving Fibonomial coefficients, Fibonacci and Lucas numbers. After rewriting it in terms of Gaussian qbinomial coefficients and qPochhammer symbols, we ... 
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 ... 
Summability process by singular operators
(Kossuth Lajos Tudomanyegyetem, 2014)The aim of this paper is to obtain some approximation theorems for a sequence of singular operators that do not have to be positive in general. In the approximation, we mainly use a general matrix summability process ... 
Asymmetric generalizations of the Filbert matrix and variants
(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 LUdecompositions, their inverses, and the inverse matrix. The approach is ... 
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. ... 
Rational points of the curve over
(Cambridge University Press, 201401)Let q be a power of an odd prime. For arbitrary positive integers h, n, m with n dividing m and arbitrary with ? ? 0 we determine the number of rational points of the curve in many cases. 
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. 
Estimation of the Hurst parameter for fractional Brownian motion using the CMARS method
(Elsevier Science Bv, 201403)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 ... 
Conditioning analysis of nonlocal integral operators in fractional Sobolev spaces
(Society for Industrial and Applied Mathematics Publications, 201403)We study the conditioning of nonlocal integral operators with singular and integrable kernels in fractional Sobolev spaces. These operators are used, for instance, in peridynamics formulation and nonlocal diffusion. In one ... 
A generalization of a conjecture of Melham
(Utilitas Mathematica Publishing Inc., 201403)A generalization of one of Melham's conjectures is presented. After writing it in terms of Gaussian q binomial coefficients, a solution is found using the elementary technique of partial fraction decomposition.