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Inequalities for (p,a,b)-convex functions and their applications

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Abstract: Convex analysis is fundamental to proving inequalities that have a wide variety of applications in economics and mathematics. In this paper we provide inequalities for functions that are, intuitively, "very" convex. These inequalities are simple to apply and can be used to generalize and extend previous results or to derive new results. We apply our inequalities to various applications from different fields, including risk aversion, risk measures, moment generating functions, and log-likelihood functions.

Date: 2020-07
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