Open AccessA Class of Integral Operators Preserving Subordination and Superordination
Author(s) -
Nak Eun Cho,
In Hwa Kim
Publication year - 2008
Publication title -
journal of inequalities and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 50
eISSN - 1029-242X
pISSN - 1025-5834
DOI - 10.1155/2008/859105
Subject(s) - mathematics , subordination (linguistics) , class (philosophy) , pure mathematics , algebra over a field , computer science , philosophy , linguistics , artificial intelligence
We give some subordination- and superordination-preserving properties of certain nonlinear integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type theorems for these integral operators are also obtained. Moreover, we consider an application of the subordination and superordination theorems to the Gauss hypergeometric function