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

• Autorzy: Stanisława Kanas , Toshiyuki Sugawa
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 30F60: Teichm\"uller theory
• 30C45: Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 101
• Numer: 1
• Strony: 75-86

Daty

wydano

2011

Twórcy

autor

Stanisława Kanas

• Department of Mathematics, Rzeszów University of Technology, W. Pola 2, 35-959 Rzeszów, Poland
• Maria Curie-Skłodowska University, 20-031 Lublin, Poland

autor

Toshiyuki Sugawa

• Graduate School of Information Sciences, Tohoku University, Aoba-ku, Sendai 980-8579, Japan

Identyfikatory

DOI

10.4064/ap101-1-8