Application of the Fourth-Order Differential Subordination and Superordination Results for Analytic Functions Associated With an Operator

This study focuses on differential subordination using arithmetic and geometric approaches when the dominant function is linear. In addition to the results of differential subordination of arithmetic and geometric means in which a convex function was dominant, one can study such differential subordination for a selected convex function. We investigate several results of the differential subordinations of analytic functions are associated with an operator built using arithmetic and geometric means.