General Lebesgue integral inequalities of Jensen and Ostrowski type for differentiable functions whose derivatives in absolute value are h-convex and applications

Sever Dragomir

Abstract


Some inequalities related to Jensen and Ostrowski inequalities for general Lebesgue integral of differentiable functions whose derivatives in absolute value are h-convex are obtained. Applications for f-divergence measure are provided as well.

Keywords


Ostrowski's inequality; Jensen's inequality; f-divergence measures.

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References


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DOI: http://dx.doi.org/10.17951/a.2015.69.2.17-45
Date of publication: 2015-12-30 22:51:59
Date of submission: 2015-12-29 22:54:26


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