Browsing Matematik Bölümü / Department of Mathematics by Title
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Characterisation and enumeration of a class of semibent quadratic Boolean functions
(Inderscience Online, 2015)In this paper, we consider semibentness of quadratic Boolean functions defined for even n and give the characterisation of these functions. Up to our knowledge, semibentness of this class has not been investigated before ... 
A class of nonsymmetric band determinants with the Gaussian qbinomialcoefficients
(Taylor and Francis Ltd., 2017)A class of symmetric band matrices of bandwidth 2r+1 with the binomial coefficients entries was studied earlier. We consider a class of nonsymmetric band matrices with the Gaussian qbinomial coefficients whose upper ... 
Closed Form Evaluation Of Melham's Reciprocal Sums
(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 straightforward and simple. First we ... 
Closed form evaluation of restricted sums containing squares of Fibonomial coefficients
(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
(De Gruyter Open Ltd, 201606)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 ... 
Comparison of Nonlocal Operators Utilizing Perturbation Analysis
(Springer Verlag, 2016)We present a comparative study of integral operators used in nonlocal problems. The size of nonlocality is determined by the parameter ?. The authors recently discovered a way to incorporate local boundary conditions into ... 
The concept of Hukuhara derivative and Aumann integral for intuitionistic fuzzy number valued functions
(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 ... 
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 curious matrixsum identity and certain finite sums identities
(World Scientific Publishing Co. Pte Ltd, 201509)In this paper, we consider two generalized binary sequences and then give a generalization of a matrix equality proposed as an advanced problem. Then, we derive new certain finite sums including the generalized binary ... 
Decompositions of the Cauchy and FerrersJackson polynomials
(Udruga Matematicara Osijek, 2016)Recently, Witula and Slota have given decompositions of the Cauchy and FerrersJackson polynomials [Cauchy, FerrersJackson and Chebyshev polynomials and identities for the powers of elements of some conjugate recurrence ... 
The discreteness of the spectrum of the Schrödinger operator equation and some properties of the snumbers of the inverse Schrödinger operator
(John Wiley and Sons Ltd, 201905)In this article, we investigate the discreteness and some other properties of the spectrum for the Schrödinger operator L defined by the formula LY=d 2 y/dx 2 +A(A+I)/x 2 y+Q(x)y on the space L 2 (H, [0, ?)), where H is ... 
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 ... 
Double binomial sums and double sums related with certain linear recurrences of various order
(Chiang Mai University, 20180501)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]. ... 
Error Estimation for Approximate Solutions of Delay Volterra Integral Equations
(Springer Nature Switzerland, 201911)This work is related to inequalities in the approximation theory. Mainly, we study numerical solutions of delay Volterra integral equations by using a collocation method based on sigmoidal function approximation. Error ... 
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 ... 
Evaluation of Hessenberg Determinants via Generating Function Approach
(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 2periodic tridiagonalSylvester matrix
(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 Gaussian qbinomial coefficients with rational weight functions
(World Scientific Publishing Co. Pte Ltd, 201603)We consider sums of the Gaussian qbinomial coefficients with a parametric rational weight function. We use the partial fraction decomposition technique to prove the claimed results. We also give some interesting applications ... 
Evaluation of sums involving products of Gaussian qbinomial coefficients with applications
(De Gruyter, 201904)Sums of products of two Gaussian qbinomial 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 qbinomial coefficients with applications to Fibonomial sums
(Scientific Technical Research Council TurkeyTürkiye bilimsel ve teknolojik araştırma kurumu, 2017)Sums of products of two Gaussian qbinomial coefficients with a parametric rational weight function are considered. The partial fraction decomposition technique is used to evaluate the sums in closed form. Interesting ...