Geodesic
Sharp norm estimate of Schwarzian derivative for a class of convex functions
Stanisława Kanas1 ; Toshiyuki Sugawa2
1 Department of Mathematics Rzeszów University of Technology W. Pola 2 35-959 Rzeszów, Poland and Maria Curie-Skłodowska University 20-031 Lublin, Poland
2 Graduate School of Information Sciences Tohoku University Aoba-ku, Sendai 980-8579, Japan
Annales Polonici Mathematici, Tome 101 (2011) no. 1, pp. 75-86.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $\alpha ,\ 0\alpha 1,$ and for uniformly convex functions.
DOI : 10.4064/ap101-1-8
Keywords: establish sharp norm estimate schwarzian derivative function classes convex functions introduced minda proceedings conference complex analysis int press applications sharp norm estimates strongly convex functions order alpha alpha uniformly convex functions

Stanisława Kanas 1 ; Toshiyuki Sugawa 2

1 Department of Mathematics Rzeszów University of Technology W. Pola 2 35-959 Rzeszów, Poland and Maria Curie-Skłodowska University 20-031 Lublin, Poland
2 Graduate School of Information Sciences Tohoku University Aoba-ku, Sendai 980-8579, Japan 
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Stanisława Kanas; Toshiyuki Sugawa. Sharp norm estimate of Schwarzian derivative
 for a class of convex functions. Annales Polonici Mathematici, Tome 101 (2011) no. 1, pp. 75-86. doi : 10.4064/ap101-1-8. http://geodesic.mathdoc.fr/articles/10.4064/ap101-1-8/

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