Generalized Inequalities for Convex Functions

Authors

  • Zlatko Pavić Mechanical Engineering Faculty in Slavonski Brod, University of Osijek

Abstract

We investigate the fundamental inequalities for convex functions on the bounded closed interval of real numbers. Using the theory of positive linear functionals, we obtain the functional forms of inequalities as generalizations of the well-known inequalities. Our consideration includes
the Jensen, Jensen-Mercer, Fej\'{e}r and Hermite-Hadamard inequality.

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Published

2016-06-16

Issue

Vol. 10

Section

Vol. 10, No. 3, (2016)

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