International Journal of Mathematics and Mathematical Sciences 
Volume 2003 (2003), Issue 48, Pages 3053-3058
doi:10.1155/S0161171203210644

On uniformly close-to-convex functions and uniformly quasiconvex functions

K. G. Subramanian,1 T. V. Sudharsan,2 and Herb Silverman3

 1Department of Mathematics, Madras Christian College, Tambaram, Chennai 600 059, India
2Department of Mathematics, South India Vaniar Educational Trust (SIVET) College, Gowrivakkam, Chennai 601 302, India
3Department of Mathematics, University of Charleston, Charleston, SC 29424, USA
Received 30 October 2002

Abstract

Two new subclasses of uniformly convex and uniformly close-to-convex functions are introduced. We obtain inclusion relationships and coefficient bounds for these classes.