Ankara Üniversitesi Akademik Arşivi
http://dspace.ankara.edu.tr:80/xmlui
The DSpace digital repository system captures, stores, indexes, preserves, and distributes digital research material.2021-10-25T13:55:50ZA Generalized Version of Foster and Stuart's d-statistic
http://hdl.handle.net/20.500.12575/75732
A Generalized Version of Foster and Stuart's d-statistic
Tanıl, Halil
Assume that only the lists of upper k-records and lower k-records of a finite sequence are available and the existence of a monotonic trend in location is interested in. In this study, a distribution-free test based on the difference between the numbers of upper and lower k-records is proposed for this situation. The exact and asymptotic distributions of the proposed test statistic are obtained for a random continuous sequence which is independent and identically distributed (i.i.d.). Also, a comparison between the proposed test and some well-known distribution-free tests is made in terms of empirical powers.
2019-02-01T00:00:00ZOn the rate of convergence of the g-Navier-Stokes equations
http://hdl.handle.net/20.500.12575/75731
On the rate of convergence of the g-Navier-Stokes equations
Kaya, Meryem; Kazar, Özge; Kantar, Ülkü Dinlemez
In this paper we consider 2D g-Navier-Stokes equations in a bounded domain by Ω. We give an error estimate between the solutions of Galerkin approximation of the g-Navier-Stokes equations and the exact solutions of them.
2019-02-01T00:00:00ZOn the Representations and Characters of Cat¹-Groups and Crossed Modules
http://hdl.handle.net/20.500.12575/75730
On the Representations and Characters of Cat¹-Groups and Crossed Modules
Davvaz, B.; Dehghani, M. A.
Let G be a group and V a K-vector space. A K-linear representation of G with representation space V is a homomorphism φ:G→GL(V). The dimension of V is called the degree of φ. If φ is a representation of G, then the character φ is defined for g∈G as ψ_{g}(φ)=Tr(φ(g)). In this paper we study the representations and characters of cat¹-groups and crossed modules. We show that for class functions ψ₁ and ψ₂ of crossed module χ=(G,M,μ,∂), the inner product is Hermitian. Also, if χ=(G,M,μ,∂) is a finite crossed module and ψ is an irreducible character of χ, then
∑_{m∈M,g∈G}ψ(m,g)ψ(m⁻¹,g⁻¹)=|G||M|.
Moreover, we present some examples of the character tables of crossed modules.
2019-02-01T00:00:00ZCertain New Hermite-Hadamard Type Inequalities for Convex Functions Via Fractional Integrals
http://hdl.handle.net/20.500.12575/75729
Certain New Hermite-Hadamard Type Inequalities for Convex Functions Via Fractional Integrals
Set, Erhan; Özdemir, M. Emin; Korkut, Nejla
The object of this paper is to obtain certain Hermite-Hadamard type integral inequalities involving general class of fractional integral operators and the fractional integral operators with exponential kernel by using harmonically convex functions
2019-02-01T00:00:00Z