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