Publicado

2016-01-01

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

Palabras clave:

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

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.