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
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
Academic Editor: Narendra K. Govil
Copyright © 2007 H. Özlem Güney and Shigeyoshi Owa. 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
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.