A Refinement and a divided difference reverse of Jensen's inequality with applications
Revista Colombiana de Matematicas, ISSN: 2357-4100, Vol: 50, Issue: 1, Page: 17-39
2016
- 4Citations
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- 2Captures
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Article Description
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.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85011394730&origin=inward; http://dx.doi.org/10.15446/recolma.v50n1.62178; http://revistas.unal.edu.co/index.php/recolma/article/view/62178; http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262016000100002&lng=en&tlng=en; http://www.scielo.org.co/scielo.php?script=sci_abstract&pid=S0034-74262016000100002&lng=en&tlng=en; http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262016000100002; http://www.scielo.org.co/scielo.php?script=sci_abstract&pid=S0034-74262016000100002; https://dx.doi.org/10.15446/recolma.v50n1.62178; https://revistas.unal.edu.co/index.php/recolma/article/view/62178
Universidad Nacional de Colombia
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