Şenyurt, Süleyman; Canli, Davut; Çan, Elif; Mazlum, Sümeyye Gür

In this study, we first define the Smarandache curves derived from the Frenet vectors and the Darboux vector of any curve. Then, we construct new ruled surfaces along these Smarandache curves with the direction vectors obtained from the Frenet vectors and the Darboux vector, and give the equations of these surfaces. In addition, we calculate the Gaussian and mean curvatures of these surfaces separately and present the conditions to be minimal and developable for these surfaces. Finally, as an example, we obtain ruled surfaces whose base curves are Viviani’s curves and plot the graphics of these surfaces.

Toklu, Evriim; Aktas, Ibrahim; Sagsöz, Fatma

The aim of this investigation is to introduce two new subclasses of the class sigma related with the generalized Salagean differential operator and find estimates on the coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar for functions in these new subclasses. Moreover, we give some interesting results by using the relationship between Salagean's differential operator and generalized Salagean differential operator.