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. Subramanian1
, T.V. Sudharsan2
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
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.