Resumo

SEVER DRAGOMIR, S. A Refinement and a divided difference reverse of Jensen's inequality with applications. Rev.colomb.mat. [online]. 2016, vol.50, n.1, pp.17-39. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v50n1.62178.

Abstract A refinement 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.

Palavras-chave : Jensen's inequality; Measurable functions; Lebesgue integral; Divergence measures; f-Divergence; Hölder inequality.

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