https://hdl.handle.net/20.500.12619/1054 2026-04-13T14:52:04Z 2026-04-13T14:52:04Z Soyfidan, Tülay Parlatıcı, Hatice Güngör, Mehmet Ali https://hdl.handle.net/20.500.12619/96498 2021-12-02T07:59:03Z 2013-01-01T00:00:00Z

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.

2013-01-01T00:00:00Z Çallıalp, Fethi https://hdl.handle.net/20.500.12619/76188 2021-02-10T11:37:31Z 1994-01-01T00:00:00Z

Cebir Çallıalp, Fethi

1994-01-01T00:00:00Z Başarır, Metin https://hdl.handle.net/20.500.12619/6205 2020-02-24T12:06:15Z 2014-01-01T00:00:00Z

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.

2014-01-01T00:00:00Z Akyiğit, Mahmut Kösal, Hidayet Hüda Tosun, Murat https://hdl.handle.net/20.500.12619/6203 2020-02-24T12:07:08Z 2014-01-01T00:00:00Z

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.

2014-01-01T00:00:00Z