engleski

Application of functionals in creating inequalities

The paper deals with the fundamental inequalities for convex functions in the bounded closed interval. The main inequality includes convex functions and positive linear functionals extending and refining the functional form of Jensen's inequality. This inequality implies the Jensen, Fejér, and thus Hermite-Hadamard inequality, as well as their refinements.

positive linear functional ; convex function ; the Jensen inequality ; the Fejér inequality ; the Hermite-Hadamard inequality

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