engleski

Generalizations of the Jensen–Mercer Inequality via Fink’s Identity

We generalize an integral Jensen–Mercer inequality to the class of n-convex functions using Fink’s identity and Green’s functions. We study the monotonicity of some linear functionals constructed from the obtained inequalities using the definition of n-convex functions at a point.

Jensen–Mercer inequality ; Fink’s identity ; n-convex functions

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