| Inequalities on the Triangle |
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| 作者姓名： | Zlatko PAVIC |
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| 作者单位： | Mechanical Engineering Faculty in Slavonski Brod, University of Osijek Slavonski Brod 35000, Croatia |
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| 基金项目： | Supported by Croatian Science Foundation under the Project 5435 |
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| 摘 要： | 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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| 关 键 词： | convex function convex combination triangle barycenter |
| 收稿时间： | 2015/2/16 0:00:00 |
| 修稿时间： | 2015/3/20 0:00:00 |
Inequalities on the Triangle |
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| Zlatko PAVIC.Inequalities on the Triangle[J].Journal of Mathematical Research with Applications,2016,36(1):51-60. |
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| Authors: | Zlatko PAVIC |
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| Institution: | 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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