engleski

Some new results of AM-GM inequality

There is a large number of discrete inequalities between geometric and arithmetic means. Our intention is to investigate possible generalization and integral analogues of inequalities obtained in works of Redhefer, Bullen and Godunova. At the end, we will consider re¯nements of given inequalities by di®erent separations of their domains.

convex functions; Jensen's inequality; superquadratic functions

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