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Bounds for the normalised Jensen functional

Published online by Cambridge University Press:  17 April 2009

Sever S. Dragomir
Sever S. Dragomir
Affiliation:
School of Computer Science and Mathematics, Victoria University, Melbourne, Vic. 8001, Australia, e-mail: [email protected]
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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 74 , Issue 3 , December 2006 , pp. 471 - 478
Copyright
Copyright © Australian Mathematical Society 2006

References

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