In this paper, we obtain some interesting properties of differential subordination and superordination for the classes of symmetric analytic functions in the unit disk, by applying Noor integral operator. We investigate several sandwich theorems on basis of this theory.

We obtain subordination and superordination preserving properties for the Saigo type generalized fractional differ-integral operator, defined for multivalent functions in the open unit disk. A differential sandwich-type theorem for these multivalent function, and some consequences are also presented.

In this paper, we obtain some applications of first order differential subordination and superordination results for higher-order derivatives of p-valent functions involving certain linear operator. Some of our results improve and generalize previously known results.

Both the theory of differential subordination and its dual, superordination, introduced by Professors Miller Mocanu are based on reinterpreting certain inequalities for real-valued functions case complex-valued functions. Studying superordination properties using different types operators is a technique that still widely used, some studies resulting in sandwich-type theorems as present paper. T...

The main purpose of the present paper is to investigate some subordination-preserving and superordination-preserving properties of a certain family of integral operators. Several sandwich-type results associated with this family of integral operators are also derived. 2000 Mathematics Subject Classification. Primary 30C45; Secondary 30C80.

In this paper, we generalize the well known differential operator by using a generalized hypergeometric function. By applying this operator, we introduce a new class of non-Bazilević functions and derive subordination and superordination results for the class in the unit disk. Relevant connections of the results presented in this paper are also pointed out with various other known results.

Let q1 and q2 be univalent in ∆ := {z : |z| < 1} with q1(0) = q2(0) = 1. We give some applications of first order differential subordination and superordination to obtain sufficient conditions for a normalized analytic functions f with f(0) = 0 , f ′(0) = 1 to satisfy q1(z) ≺ zf ′(z) f(z) λ ≺ q2(z).

Using the methods of differential subordination and superordination, sufficient conditions are determined on the Liu-Srivastava linear operator of meromorphic functions in the punctured unit disk to obtain respectively the best dominant and the best subordinant. New sandwich-type results are also obtained. 2000 Mathematics Subject Classification: Primary 30C80; Secondary 30C45

The purpose of the present paper is to obtain some subordination and superordination preserving properties involving a certain family of multiplier transformations for meromorphic functions in the open unit disk. The sandwich-type theorems for these linear operators are also considered.