Journal of Inequalities and Applications 
Volume 2007 (2007), Article ID 97135, 9 pages
doi:10.1155/2007/97135
Research Article

Integral Means Inequalities for Fractional Derivatives of a Unified Subclass of Prestarlike Functions with Negative Coefficients

H. Özlem Güney1 and Shigeyoshi Owa2

 1Department of Mathematics, Faculty of Science and Letters, University of Dicle, Diyarbakır 21280, Turkey
2Department of Mathematics, Kinki University, Osaka 577-8502, Higashi-Osaka, Japan
Received 24 May 2007; Revised 13 July 2007; Accepted 28 July 2007

Recommended by Narendra K. Govil

Abstract

Integral means inequalities are obtained for the fractional derivatives of order p+λ(0≤p≤n, 0≤λ<1) of functions belonging to a unified subclass of prestarlike functions. Relevant connections with various known integral means inequalities are also pointed out.