A Refinement and a divided difference reverse of Jensen's inequality with applications
A renement and a new sharp reverse of Jensen's inequality for convex functions in terms of divided diferences is obtained. Applications for means, the Hölder inequality and for f-divergence measures in information theory are also provided.
- Autores:
-
Dragomir, S. Sever
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2016
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/66452
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66452
http://bdigital.unal.edu.co/67480/
- Palabra clave:
- 51 Matemáticas / Mathematics
Jensen's inequality
Measurable functions
Lebesque integral
Divergence measures
f-Divergence
Hölder inequality
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | A renement and a new sharp reverse of Jensen's inequality for convex functions in terms of divided diferences is obtained. Applications for means, the Hölder inequality and for f-divergence measures in information theory are also provided. |
|---|