On Some Improvements of the Jensen Inequality with Some Applications

被引：0
|
作者：
M. Adil Khan
M. Anwar
J. Jakšetić
J. Pečarić
机构：
[1] GC University,Abdus Salam School of Mathematical Sciences
[2] University of Zagreb,Faculty of Mechanical Engineering and Naval Architecture
[3] University of Zagreb,Faculty of Textile Technology
来源：
Journal of Inequalities and Applications | / 2009卷
关键词：
Convex Function; Divergence Measure; Hellinger Distance; Renyi Entropy; Jensen Inequality;
D O I：
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学科分类号：
摘要：
An improvement of the Jensen inequality for convex and monotone function is given as well as various applications for mean. Similar results for related inequalities of the Jensen type are also obtained. Also some applications of the Cauchy mean and the Jensen inequality are discussed.
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