International Journal on Minority and Group Rights. Vol. 10. 2003. P.. 203-220
New refinement of the Jensen inequality associated to certain functions with applications
This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory. A more general refinement of Jensen inequality is presented associated to n functions. © 2020, The Author(s).
Authors
Adil Khan M. , Pečarić Ð. 2 , Pečarić J. 3
Publisher
Springer International Publishing
Issue number
1
Language
English
State
Published
Link
Number
76
Volume
2020
Year
2020
Organizations
- 1 Department of Mathematics, University of Peshawar, Peshawar, Pakistan
- 2 Catholic University of Croatia, Zagreb, Croatia
- 3 RUDN University, Moscow, Russian Federation
Keywords
Convex functions; Csiszár divergence; Hölder inequality; Jensen’s inequality; Means; Shannon entropy
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Journal of Inequalities and Applications. Vol. 2020. 2020.