REFINING JENSEN’S INTEGRAL INEQUALITY FOR DIVISIONS OF MEASURABLE SPACE

Authors

  • S. S. Dragomir Victoria University, Melbourne, Australia

DOI:

https://doi.org/10.30495/jme.v12i1.631

Keywords:

Jensen’s inequality, .Convex functions, Lebesgue integral, Weighted means

Abstract

In this paper we establish a refinement and some reverses forJensens inequality for the general Lebesgue integral on divisions of measurablespace. Applications for discrete inequalities and weighted means of positivenumbers are also given. Some examples related to Hermite-Hadamard inequal-ity for convex functions are provided as well.

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Published

2018-02-27

Issue

Vol. 12

Section

Vol. 12, No. 2, (2018)

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