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

Stanisława Kanas; Toshiyuki Sugawa

Annales Polonici Mathematici (2011)

- Volume: 101, Issue: 1, page 75-86
- ISSN: 0066-2216

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topStanisława 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 -

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