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

M.Anbu Durai and R. Parvatham

The Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600 500, India

Abstract

We prove that the class of uniformly α-convex functions introduced by Kanas is closed under the generalized Ruscheweyh integral operator for 0<α1.