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  最后修改时间: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
作者单位
Zlatko PAVIC Mechanical Engineering Faculty in Slavonski Brod, University of Osijek Slavonski Brod 35000, Croatia 
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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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