Sharp norm estimate of Schwarzian derivative for a class of convex functions

Stanisława Kanas, and Toshiyuki Sugawa. "Sharp norm estimate of Schwarzian derivative for a class of convex functions." Annales Polonici Mathematici 101.1 (2011): 75-86. <http://eudml.org/doc/280566>.

@article{StanisławaKanas2011,
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, Int. Press, 1992, 157-169]. As applications, we give sharp norm estimates for strongly convex functions of order α, 0 < α < 1, and for uniformly convex functions.},
author = {Stanisława Kanas, Toshiyuki Sugawa},
journal = {Annales Polonici Mathematici},
keywords = {sharp norm estimate for the Schwarzian derivative; strongly convex function; uniformly convex function; quasiconformal extension},
language = {eng},
number = {1},
pages = {75-86},
title = {Sharp norm estimate of Schwarzian derivative for a class of convex functions},
url = {http://eudml.org/doc/280566},
volume = {101},
year = {2011},
}

TY - JOUR
AU - Stanisława Kanas
AU - Toshiyuki Sugawa
TI - Sharp norm estimate of Schwarzian derivative for a class of convex functions
JO - Annales Polonici Mathematici
PY - 2011
VL - 101
IS - 1
SP - 75
EP - 86
AB - 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, Int. Press, 1992, 157-169]. As applications, we give sharp norm estimates for strongly convex functions of order α, 0 < α < 1, and for uniformly convex functions.
LA - eng
KW - sharp norm estimate for the Schwarzian derivative; strongly convex function; uniformly convex function; quasiconformal extension
UR - http://eudml.org/doc/280566
ER -