Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 601597, 10 pages
doi:10.1155/2009/601597
Research Article

Conditions for Carathéodory Functions

Nak Eun Cho and In Hwa Kim

Department of Applied Mathematics, Pukyong National University, Busan 608-737, South Korea

Received 12 April 2009; Accepted 13 October 2009

Academic Editor: Yong Zhou

Copyright © 2009 Nak Eun Cho and In Hwa Kim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The purpose of the present paper is to derive some sufficient conditions for Carathéodory functions in the open unit disk. Our results include several interesting corollaries as special cases.