https://hdl.handle.net/20.500.12619/1140 Mon, 13 Apr 2026 16:21:55 GMT 2026-04-13T16:21:55Z https://hdl.handle.net/20.500.12619/96498 On the quaternionic curves according to parallel transport frame Soyfidan, Tülay; Parlatıcı, Hatice; Güngör, Mehmet Ali In this paper, we have studied parallel transport frame for a quaternionic curve in E3 and E4. Firstly, we have defined a new kind of slant helix with respect to parallel transport frame and given some necessary and sufficient conditions for the quaternionic slant helix in E3. We have introduced a new definition of harmonic curvature functions in terms of M3 according to parallel transport frame and defined quaternionic M3−slant helix by using the new harmonic curvature functions in E4. Tue, 01 Jan 2013 00:00:00 GMT https://hdl.handle.net/20.500.12619/96498 2013-01-01T00:00:00Z https://hdl.handle.net/20.500.12619/6205 Some sequence spaces derived by Riesz mean in a real 2-normed space Başarır, Metin In the present paper, we introduce some new sequence spaces derived by Riesz mean and the notions of almost and strongly almost convergence in a real 2-normed space. Some topological properties of these spaces are investigated. Further, new concepts of statistical convergence which will be called weighted almost statistical convergence, almost statistical convergence and [(R) over tilde, p(n)] - statistical convergence in a real 2-normed space, are defined. Also, some relations between these concepts are investigated. Wed, 01 Jan 2014 00:00:00 GMT https://hdl.handle.net/20.500.12619/6205 2014-01-01T00:00:00Z https://hdl.handle.net/20.500.12619/6203 Fibonacci Generalized Quaternions Akyiğit, Mahmut; Kösal, Hidayet Hüda; Tosun, Murat In this paper, the Fibonacci generalized quaternions are introduced. We use the well-known identities related to the Fibonacci and Lucas numbers to obtain the relations regarding these quaternions. Furthermore, the Fibonacci generalized quaternions are classified by considering the special cases of quaternionic units. Wed, 01 Jan 2014 00:00:00 GMT https://hdl.handle.net/20.500.12619/6203 2014-01-01T00:00:00Z https://hdl.handle.net/20.500.12619/6204 Commutative Quaternion Matrices Kösal, Hidayet Hüda; Tosun, Murat In this study, we introduce the concept of commutative quaternions and commutative quaternion matrices. Firstly, we give some properties of commutative quaternions and their fundamental matrices. After that we investigate commutative quaternion matrices using properties of complex matrices. Then we define the complex adjoint matrix of commutative quaternion matrices and give some of their properties. Wed, 01 Jan 2014 00:00:00 GMT https://hdl.handle.net/20.500.12619/6204 2014-01-01T00:00:00Z