Reverses of the Jensen inequality in terms of first derivative and applications

被引:5
|
作者
Dragomir S.S. [1 ,2 ]
机构
[1] Mathematics School of Engineering and Science, Victoria University, PO Box 14428, Melbourne City
[2] School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3
关键词
Divergence measures; f-Divergence; Jensen's inequality; Lebesgue integral; Measurable functions;
D O I
10.1007/s40306-013-0029-9
中图分类号
学科分类号
摘要
Two new reverses of the celebrated Jensen integral inequality for convex functions with applications for means, the Hölder inequality and f-divergence measures in information theory are given. © 2013 Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore.
引用
收藏
页码:429 / 446
页数:17
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