Preserving Properties of the Double Integral Operators

We consider the subclass \(S(\beta ,\gamma )\) of the normalized analytic functions. The extended form of this class was introduced and investigated by Aghalary et al. (Tamkang J Math 39(4):325–334, 2008). In the present paper, we define two double integral operators which preserve properties of this class. Applications and consequences of the main results are also considered.