| Zlatko PAVIC.Inequalities on the Triangle[J].数学研究及应用,2016,36(1):51~60 |
| Inequalities on the Triangle |
| Inequalities on the Triangle |
| 投稿时间：2015-02-16 修订日期：2015-03-20 |
| DOI：10.3770/j.issn:2095-2651.2016.01.007 |
| 中文关键词: convex function convex combination triangle barycenter |
| 英文关键词:convex function convex combination triangle barycenter |
| 基金项目:Supported by Croatian Science Foundation under the Project 5435 |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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