A Characterization of Concave Mappings Using the Carathéodory Class and Schwarzian Derivative
Date
Authors
VENEGAS TORRES, OSVALDO
Bravo, Victor
Hernández, Rodrigo
Venegas, Osvaldo
Bravo, Victor
Hernández, Rodrigo
Venegas, Osvaldo
Authors
Date
Datos de publicación:
10.1007/s40315-024-00557-0
Keywords
30c45 - 30c55 - 31a10 - Carathã©odory Class - Concave Mappings - Primary - Schwarzian Derivative - Secondary
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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. © 2024 Elsevier B.V., All rights reserved.
Description
Keywords
30c45 , 30c55 , 31a10 , Carathã©odory Class , Concave Mappings , Primary , Schwarzian Derivative , Secondary
Citation
10.1007/s40315-024-00557-0