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INEQUALITIES ON THE LINE SEGMENT
Author(s) : Zlatko Pavić
Pages : [47] - [60]
Received : January 30, 2015
Communicated by : Professor Atid Kangtunyakarn
Pages : [47] - [60]
Received : January 30, 2015
Communicated by : Professor Atid Kangtunyakarn
Abstract
The article deals with generalizations of the inequalities for convex functions on the line segment. The Jensen and the Hermite-Hadamard inequalities are included in the study. Some improvements of the Hermite-Hadamard inequality are obtained and applied to mathematical means.
Keywords
convex function, convex combination, barycenter.