engleski

Jensen's and Hermite-Hadamard's inequality

In this work, we rely on concepts of mathematical analysis such as the convexity and integral method. A derivation of the discrete form of Jensen's inequality is presented by using geometric properties of convex sets. The integral form of Jensen's inequality is realized by applying the integral method with convex combinations. Hermite-Hadamard's inequality is obtained by combining geometric properties of convex functions and integrals.

convexity ; affinity ; Jensen's inequality ; Hermite-Hadamard's inequality

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