In this paper, we give converses of the Jensen and Edmundson– Lah–Ribarič inequalities which are more accurate than the existing ones. These converses are given in a difference form and they rely on the recent refinement of the Jensen inequality obtained via linear interpolation of a convex function. As an application, we also derive improved converse relations for generalized means, for the Hö...

Abstract In this paper, we establish a new variant of q -Hermite-Hadamard inequality for convex functions via left and right -integrals. Moreover, prove some -midpoint -trapezoid type inequalities -differentiable functions. To illustrate the newly established inequalities, give particular examples

The Hermite-Hadamard inequality has been recognized as the most pivotal which grabbed attention of several mathematicians. In recent years, load results have established for this inequality. main theme article is to present generalized via Jensen-Mercer and majorization concept. We establish a type majorized tuples. With aid weighted Mercer?s inequality, we also prove certain idea obtaining pap...

Copyright q 2010 Erhan Set et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We establish some new Hermite-Hadamard-type inequalities involving product of two functions. Other integral inequalities for two functions are obtai...