Publicado

2016-01-01

A Refinement and a divided difference reverse of Jensen's inequality with applications

DOI:

https://doi.org/10.15446/recolma.v50n1.62178

Palabras clave:

Jensen's inequality, Measurable functions, Lebesque integral, Divergence measures, f-Divergence, Hölder inequality (en)

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Autores/as

  • S. Sever Dragomir Victoria University

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.

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Cómo citar

Dragomir, S. S. (2016). A Refinement and a divided difference reverse of Jensen’s inequality with applications. Revista Colombiana De Matemáticas, 50(1), 17-39. https://doi.org/10.15446/recolma.v50n1.62178

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Derechos de autor 2016 Revista Colombiana de Matemáticas

Creative Commons License

Esta obra está bajo una licencia internacional Creative Commons Atribución 4.0.