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

Download
Full text for this resource is not available from the Research Repository.
Export

Dragomir, Sever S ORCID: 0000-0003-2902-6805 (2016) A Refinement and a divided difference reverse of Jensen's inequality with applications. Revista Colombiana de Matematicas, 50 (1). 17 - 39. ISSN 0034-7426

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.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/34530
Official URL http://dx.doi.org/10.15446/recolma.v50n1.62178
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Current > Division/Research > College of Science and Engineering
Keywords Jensen's inequality; measurable functions; Lebesgue integral; divergence measures; f-divergence; Hölder's inequality
Download/View statistics View download statistics for this item

Search Google Scholar

Repository staff login

CORE (COnnecting REpositories)