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