Mugur Acu

Some Integral Operators which Preserve a Subclass of Uniformly Quasiconvex Functions

Abstract:
In this paper we define a subclass of uniformly quasiconvex functions and show that this class is preserved under the Alexander and Bernardi integral operators.

Keywords:
Alexander integral operator, Bernardi integral operator, uniformly quasiconvex functions, Ruscheweyh operator.

MSC 2000: 30C45.