Inequalities on the Triangle |
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Authors: | Zlatko PAVIC |
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Affiliation: | Mechanical Engineering Faculty in Slavonski Brod, University of Osijek Slavonski Brod 35000, Croatia |
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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. |
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Keywords: | convex function convex combination triangle barycenter |
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