Sharp norm estimate of Schwarzian derivative for a class of convex functions
Complex Variables
2011-02-03 v1
Abstract
We establish a sharp norm estimate of the Schwarzian derivative for a function in the classes of convex functions introduced by Ma and Minda [Proceedings of the Conference on Complex Analysis, International Press Inc., 1992, 157-169]. As applications, we give sharp norm estimates for strongly convex functions of order and for uniformly convex functions.
Keywords
Cite
@article{arxiv.1102.0338,
title = {Sharp norm estimate of Schwarzian derivative for a class of convex functions},
author = {Stanisława Kanas and Toshiyuki Sugawa},
journal= {arXiv preprint arXiv:1102.0338},
year = {2011}
}
Comments
12 pages, 1 figure