Bounds for the normalised Jensen functional
By Sever Silvestru Dragomir. Bulletin of the Australian Mathematical Society, 2006
168 citations recorded by the source corpus.
New inequalities for the general case of convex functions defined on linear spaces which improve the famous Jensen's inequality are established. Particular instances in the case of normed spaces and for complex and real n-tuples are given. Refinements of Shannon's inequality and the positivity of Kullback-Leibler divergence are obtained.
Subfields: Applied Mathematics, Management Science and Operations Research
View Paper: https://www.semanticscholar.org/paper/3e968aaeda26d19e9f329d8bcf91638509a492d9
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In Applied Mathematics
In Management Science and Operations Research
Citations in the corpus
- Some remarks on the triangle inequality for norms (2008, background): “S.S. Dragomir, Bounds for the normalised Jensen functional, Bull.”
- On refined Young inequalities and reverse inequalities (2010, unknown): “Dragomir in [12].”