engleski

Converse Jensen-Steffensen inequality

In this paper we prove a converse to the Jensen-Steffensen inequality and two inequalities complementary to the Jensen-Steffensen inequality. We apply so called exp-convex method in order to interpret our results in the form of exponentially convex functions. The outcome is a number of new interesting inequalities as well as some new Cauchy type means.

Jensen-Steffensen inequality; Jensen-Mercer inequality; exponentially convex functions; log-convex functions; Cauchy type means

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