A Characterization of Concave Mappings Using the Caratheodory Class and Schwarzian Derivative
A Characterization of Concave Mappings Using the Caratheodory Class and Schwarzian Derivative
Authors
Bravo, Victor
Hernandez, Rodrigo
Venegas, Osvaldo
Hernandez, Rodrigo
Venegas, Osvaldo
Authors
Date
Datos de publicaciĆ³n:
10.1007/s40315-024-00557-0
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Abstract
The purpose of this paper is to establish new characterizations of concave functions f defined in D in terms of the operator 1+zf ''/f ', the Schwarzian derivative and the lower order. We will distinguish the cases when the omitted set is bounded or unbounded, and in the latter case, we will address the subclasses determined by the angle at infinity.