... h−1is convex and g is decreasing, or f g ◦ h−1is concave and g is increasing.Remark 1.4. In fact Corollaries 1.2 and 1.3 are weighted versions of results in 2.The inequality of Popoviciu ... Orderings, and Statistical Applications,vol. 187 of Mathematics in Science and Engineering, Academic Press, Boston, Mass, USA, 1992.5 D. S. Mitrinovi´c, J. E. Peˇcari´c,andA.M.Fink,Classical ... 1.16 and raising the power 1/s,weget1.20.When s 0ort 0, we get the required results by taking limit.Hindawi Publishing CorporationJournal of Inequalities and ApplicationsVolume 2010, Article...