International Journal of Mathematics and Mathematical Sciences
Volume 2013 (2013), Article ID 294378, 6 pages
Research Article

On Certain Classes of Convex Functions

Department of Mathematics, Kyungsung University, Busan 608-736, Republic of Korea

Received 25 February 2013; Accepted 7 May 2013

Academic Editor: Heinrich Begehr

Copyright © 2013 Young Jae Sim and Oh Sang Kwon. 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.


For real numbers and such that , we denote by the class of normalized analytic functions which satisfy the following two sided-inequality: where denotes the open unit disk. We find some relationships involving functions in the class . And we estimate the bounds of coefficients and solve the Fekete-Szegö problem for functions in this class. Furthermore, we investigate the bounds of initial coefficients of inverse functions or biunivalent functions.