Abstract: In this paper, a generalized derivatives operator n
λ,βf
introduced by the authors will be discussed. Some subordination and
superordination results involving this operator for certain normalized
analytic functions in the open unit disk will be investigated. Our
results extend corresponding previously known results.
Abstract: In the present paper, we obtain a sandwich-type theorem.
As applications of our main result, we discuss the univalence
and starlikeness of analytic functions in terms of certain differential
subordinations and differential inequalities.