A Characterization of Concave Mappings Using the Carathéodory Class and Schwarzian Derivative

Víctor Bravo; Rodrigo Hernández; Osvaldo Venegas

doi:10.1007/s40315-024-00557-0

A Characterization of Concave Mappings Using the Carathéodory Class and Schwarzian Derivative

Víctor Bravo
, Rodrigo Hernández
, Osvaldo Venegas

Faculty of Engineering and Science

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	753-763
Number of pages	11
Journal	Computational Methods and Function Theory
Volume	25
Issue number	3
DOIs	https://doi.org/10.1007/s40315-024-00557-0
State	Published - Sep 2025

Keywords

CarathÃ©odory class
Concave mappings
Schwarzian derivative

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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.",

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KW - Concave mappings

KW - Schwarzian derivative

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A Characterization of Concave Mappings Using the Carathéodory Class and Schwarzian Derivative

Abstract

Keywords

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