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Inequalities on the Triangle
Authors:Zlatko PAVIC
Affiliation:Mechanical Engineering Faculty in Slavonski Brod, University of Osijek Slavonski Brod 35000, Croatia
Abstract:The article deals with generalizations of the inequalities for convex functions on the triangle. The Jensen and the Hermite-Hadamard inequality are included in the study. Considering a convex function on the triangle, we obtain a generalization of the Jensen-Mercer inequality, and a refinement of the Hermite-Hadamard inequality.
Keywords:convex function   convex combination   triangle   barycenter
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