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

Anita Matković
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Anita Matković: Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture, University of Split, Ruđera Boškovića 32, 21000 Split, Croatia

Mathematics, 2021, vol. 9, issue 19, 1-10

Abstract: 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.

Keywords: Jensen–Mercer inequality; Fink’s identity; n-convex functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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