Inequalities on the Triangle |
Received:February 16, 2015 Revised:March 20, 2015 |
Key Words:
convex function convex combination triangle barycenter
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Fund Project:Supported by Croatian Science Foundation under the Project 5435 |
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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. |
Citation: |
DOI:10.3770/j.issn:2095-2651.2016.01.007 |
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