JAEM 2018, Vol 8, No 1aJAEM 2018, Vol 8, No 1a koleksiyonunu içerir.https://hdl.handle.net/11729/24032024-03-28T10:25:46Z2024-03-28T10:25:46ZNew characterizations of spacelike curves on timelike surfaces through the link of specific framesÜnlütürk, YasinYılmaz, Sühahttps://hdl.handle.net/11729/26712021-07-01T14:08:56Z2018-01-01T00:00:00ZNew characterizations of spacelike curves on timelike surfaces through the link of specific frames
Ünlütürk, Yasin; Yılmaz, Süha
In this work, considering a regular spacelike curve on a smooth timelike surface in Minkowski 3-space, we investigate relations between the mentioned curve’s Darboux and Bishop frames on the timelike surface. Next we obtain Darboux vector of the regular spacelike curve in terms of Bishop apparatus. Thereafter, translating the Darboux vector to the center of the unit sphere, we determine aforementioned spacelike curve. Moreover, we investigate this spherical image’s Frenet-Serret and Bishop apparatus and illustrate our results with two examples.
2018-01-01T00:00:00ZOn the moments for ergodic distribution of an inventory model of type (s; S) with regularly varying demands having infinite varianceBektaş Kamışlık, AslıKesemen, TülayKhaniyev, Tahirhttps://hdl.handle.net/11729/26702021-07-01T14:09:48Z2018-01-01T00:00:00ZOn the moments for ergodic distribution of an inventory model of type (s; S) with regularly varying demands having infinite variance
Bektaş Kamışlık, Aslı; Kesemen, Tülay; Khaniyev, Tahir
In this study a stochastic process X(t) which represents a semi Markovian inventory model of type (s,S) has been considered in the presence of regularly varying tailed demand quantities. The main purpose of the current study is to investigate the asymptotic behavior of the moments of ergodic distribution of the process X(t) when the demands have any arbitrary distribution function from the regularly varying subclass of heavy tailed distributions with infinite variance. In order to obtain renewal function generated by the regularly varying random variables, we used a special asymptotic expansion provided by Geluk [14]. As a first step we investigate the current problem with the whole class of regularly varying distributions with tail parameter 1 < α < 2 rather than a single distribution. We obtained a general formula for the asymptotic expressions of n th order moments (n = 1, 2, 3, . . .) of ergodic distribution of the process X(t). Subsequently we consider this system with Pareto distributed demand random variables and apply obtained results in this special case.
2018-01-01T00:00:00ZGeneralized Hankel determinant for a general subclass of univalent functionsYalçın, SibelAltınkaya, ŞahseneOwa, Shigeyoshihttps://hdl.handle.net/11729/26692021-07-01T14:10:47Z2018-01-01T00:00:00ZGeneralized Hankel determinant for a general subclass of univalent functions
Yalçın, Sibel; Altınkaya, Şahsene; Owa, Shigeyoshi
Making use of the generalized Hankel determinant, in this work, we consider a general subclass of univalent functions. Moreover, upper bounds are obtained for |a3 − µa2 2|, where µ ∈ R.
2018-01-01T00:00:00ZMaximal graphs of the first reverse Zagreb beta indexEdiz, Süleymanhttps://hdl.handle.net/11729/26682021-07-01T14:07:46Z2018-01-01T00:00:00ZMaximal graphs of the first reverse Zagreb beta index
Ediz, Süleyman
The reverse vertex degree of a vertex v of a simple connected graph G defined as; cv = ∆ − dv + 1 where ∆ denotes the largest of all degrees of vertices of G and dv denotes the number of edges incident to v. The first reverse Zagreb beta index of a simple connected graph G defined as; CMβ1 (G) = P uv∈E(G)(cu + cv). In this paper we characterized maximal graphs with respect to the first reverse Zagreb beta index.
2018-01-01T00:00:00Z