engleski

Functional approach to important inequalities

We study the functional forms of the most important inequalities concerning convex functions on the triangle. Our intension is to construct a functional inequality which implies the integral form of the Jensen, Fejer and Hermite-Hadamard inequality. To reach this goal, we combine the features of positive linear functionals and convex functions.

positive functional; the Jensen inequality; the Fejer inequality; the Hermite-Hadamard inequality

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