International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 3, Pages 183-186
doi:10.1155/S0161171202006920
A note on Ruscheweyh type of integral operators for
uniformly α-convex functions
The Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600 500, India
Received 7 March 2001
Copyright © 2002 M. Anbu Durai and R. Parvatham. 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
We prove that the class of uniformly α-convex
functions introduced by Kanas is closed under the
generalized Ruscheweyh integral operator for 0<α≤1.