engleski

Superquadratic functions and refinements of some classical inequalities

Using known properties of superquadratic functions we obtain a sequence of inequalities for superquadratic functions such as the convers and the reverse Jensentype inequalities, Giaccardi's nad Petrović's inequality and Hermite-Hadamard inequality. Especially, when the superquadratic function is convex at the same time, then we get refinements of classical known results for convex functions. Some other properties of superquadratic functions are also given.

convex function; Giaccardi's inequality; Hermite-Hadamard's inequality; Jensen's inequality; superquadratic function; sum of power p

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