Generalized Inequalities for Convex Functions

Zlatko Pavić


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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